To solve the exercise you can use the following rule of three:
[tex]\begin{gathered} \text{ \$310.37}\rightarrow1\text{ month health insurance} \\ x\rightarrow12\text{ months health insurance} \\ \text{ Because} \\ 1\text{ year }=\text{ 12 months} \end{gathered}[/tex]Now, you have
[tex]\begin{gathered} x=\frac{12\text{ months health insurance }\cdot\text{ \$310.37}}{1\text{ month health insurance}} \\ x=\frac{12\text{ }\cdot\text{ \$310.37}}{1} \\ x=12\text{ }\cdot\text{ \$310.37} \\ x=\text{\$}3724.44 \end{gathered}[/tex]Therefore, the state pays $ 3,724.44 per year to insure each full time employee.