Arrange the following numbers in ascending order: 7203, 197003, 27413, 397624; 81143, 56655, 404203, 303903; 5611, 12336, 3261, 51023

The numbers are $517203, 197003, 207413, 207917, 397629$.
Comparing these numbers:
The smallest number is 197003.
Next, we look at numbers starting with 2: 207413 and 207917. 207413 is smaller than 207917.
Then, 397629.
Finally, 517203 is the largest.
The ascending order is:

$$197003 < 207413 < 207917 < 397629 < 517203$$

The final ordered list is:
$\boxed{\text{197003, 207413, 207917, 397629, 517203}}$

The numbers are $611103, 505503, 404203, 303903$.
Comparing these numbers:
The smallest number is 303903.
Next is 404203.
Then 505503.
The largest is 611103.
The ascending order is:

$$303903 < 404203 < 505503 < 611103$$

The final ordered list is:
$\boxed{\text{303903, 404203, 505503, 611103}}$

The numbers are $566111, 512330, 553261, 510231$.
All numbers start with 5. We compare the next digits.
Numbers starting with 51: 512330 and 510231. 510231 is smaller than 512330.
Numbers starting with 55 or 56: 553261 and 566111. 553261 is smaller than 566111.
The ascending order is:

$$510231 < 512330 < 553261 < 566111$$

The final ordered list is:
$\boxed{\text{510231, 512330, 553261, 566111}}$