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Finding the Fourth Proportional to 514,100.38, 709,451.19 and 284,635.66

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Solution

The fourth proportional to 514,100.38, 709,451.19 and 284,635.66 is: 392,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,100.38 : 709,451.19 = 284,635.66 : x
  2. Step 2: Convert to fraction form
    514,100.38/709,451.19 = 284,635.66/x
  3. Step 3: Cross multiply
    514,100.38x = 709,451.19 × 284,635.66
  4. Step 4: Simplify right side
    514,100.38x = 201,935,107,703.44
  5. Step 5: Solve for x
    x = 201,935,107,703.44/514,100.38
  6. Step 6: Final answer
    x = 392,793.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.