To find the total number of students in the school, we can set up a proportion based on the information given about Mr. Martin's class.
In Mr. Martin's class, there are 18 boys out of a total of 32 students. We can represent the total number of students in the school as \( s \).
Given the information, the ratio of boys to total students in Mr. Martin's class can be represented as:
\[ \frac{18 \text{ boys}}{32 \text{ students}} = \frac{468 \text{ boys}}{s} \]
We can cross-multiply to find \( s \):
\[ 18s = 468 \times 32 \]
Calculating \( 468 \times 32 \):
\[ 468 \times 32 = 14976 \]
Now, substituting back into our equation gives us:
\[ 18s = 14976 \]
To solve for \( s \), divide both sides by 18:
\[ s = \frac{14976}{18} \]
Calculating \( \frac{14976}{18} \):
\[ s = 832 \]
Thus, the total number of students in the school is \( \boxed{832} \).
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