To solve the expression \( 3124:(3\cdot 504 - 4\cdot 307) + 10403 \cdot 101 \), we will follow the order of operations step by step:
Calculate \( 3 \cdot 504 \): \[ 3 \cdot 504 = 1512 \]
Calculate \( 4 \cdot 307 \): \[ 4 \cdot 307 = 1228 \]
Subtract the results: \[ 1512 - 1228 = 284 \]
Divide \( 3124 \) by the result: \[ 3124 \div 284 = 11 \]
Calculate \( 10403 \cdot 101 \): \[ 10403 \cdot 101 = 1050303 \]
Finally, add both results together: \[ 11 + 1050303 = 1050314 \]
Thus, the final answer is: \[ \boxed{1050314} \]
