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Finding the Fourth Proportional to 502,260.96, 693,162.96 and 284,508.48

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Solution

The fourth proportional to 502,260.96, 693,162.96 and 284,508.48 is: 392,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,260.96 : 693,162.96 = 284,508.48 : x
  2. Step 2: Convert to fraction form
    502,260.96/693,162.96 = 284,508.48/x
  3. Step 3: Cross multiply
    502,260.96x = 693,162.96 × 284,508.48
  4. Step 4: Simplify right side
    502,260.96x = 197,210,740,141.90
  5. Step 5: Solve for x
    x = 197,210,740,141.90/502,260.96
  6. Step 6: Final answer
    x = 392,645.97

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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.