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Finding the Fourth Proportional to 502,483.30, 693,424.54 and 284,691.54

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Solution

The fourth proportional to 502,483.30, 693,424.54 and 284,691.54 is: 392,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,483.30 : 693,424.54 = 284,691.54 : x
  2. Step 2: Convert to fraction form
    502,483.30/693,424.54 = 284,691.54/x
  3. Step 3: Cross multiply
    502,483.30x = 693,424.54 × 284,691.54
  4. Step 4: Simplify right side
    502,483.30x = 197,412,103,209.81
  5. Step 5: Solve for x
    x = 197,412,103,209.81/502,483.30
  6. Step 6: Final answer
    x = 392,872.96

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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.