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Finding the Fourth Proportional to 502,753.52, 693,727.68 and 295,898.96

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Solution

The fourth proportional to 502,753.52, 693,727.68 and 295,898.96 is: 408,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,753.52 : 693,727.68 = 295,898.96 : x
  2. Step 2: Convert to fraction form
    502,753.52/693,727.68 = 295,898.96/x
  3. Step 3: Cross multiply
    502,753.52x = 693,727.68 × 295,898.96
  4. Step 4: Simplify right side
    502,753.52x = 205,273,299,035.21
  5. Step 5: Solve for x
    x = 205,273,299,035.21/502,753.52
  6. Step 6: Final answer
    x = 408,298.08

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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.