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Finding the Fourth Proportional to 252,517.92, 378,416 and 185,431.76

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Solution

The fourth proportional to 252,517.92, 378,416 and 185,431.76 is: 277,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,517.92 : 378,416 = 185,431.76 : x
  2. Step 2: Convert to fraction form
    252,517.92/378,416 = 185,431.76/x
  3. Step 3: Cross multiply
    252,517.92x = 378,416 × 185,431.76
  4. Step 4: Simplify right side
    252,517.92x = 70,170,344,892.16
  5. Step 5: Solve for x
    x = 70,170,344,892.16/252,517.92
  6. Step 6: Final answer
    x = 277,882.63

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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.