20. (5 points)
Xiyangyang, Meiyangyang, and Nuanyangyang went treasure hunting, and each of them found some gold coins. Xiyangyang's number of gold coins is $\frac{1}{4}$ of the total number of gold coins the other two have, Meiyangyang's number of gold coins is $\frac{1}{3}$ of the total number of gold coins the other two have, and Nuanyangyang has 176 gold coins. Therefore, the total number of gold coins they found is $\qquad$.

$320$