Finding the Fourth Proportional to 305,359.92, 458,071.28 and 105,680
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Solution
The fourth proportional to 305,359.92, 458,071.28 and 105,680 is: 158,530.87
Step by Step Solution
- Step 1: Write the proportion equation
305,359.92 : 458,071.28 = 105,680 : x - Step 2: Convert to fraction form
305,359.92/458,071.28 = 105,680/x - Step 3: Cross multiply
305,359.92x = 458,071.28 × 105,680 - Step 4: Simplify right side
305,359.92x = 48,408,972,870.40 - Step 5: Solve for x
x = 48,408,972,870.40/305,359.92 - Step 6: Final answer
x = 158,530.87
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.