Finding the Fourth Proportional to 398,206.32, 597,102.12 and 187,787.76
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Solution
The fourth proportional to 398,206.32, 597,102.12 and 187,787.76 is: 281,583.85
Step by Step Solution
- Step 1: Write the proportion equation
398,206.32 : 597,102.12 = 187,787.76 : x - Step 2: Convert to fraction form
398,206.32/597,102.12 = 187,787.76/x - Step 3: Cross multiply
398,206.32x = 597,102.12 × 187,787.76 - Step 4: Simplify right side
398,206.32x = 112,128,469,606.05 - Step 5: Solve for x
x = 112,128,469,606.05/398,206.32 - Step 6: Final answer
x = 281,583.85
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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.