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Finding the Fourth Proportional to 502,006.76, 753,019.13 and 182,385.62

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Solution

The fourth proportional to 502,006.76, 753,019.13 and 182,385.62 is: 273,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,006.76 : 753,019.13 = 182,385.62 : x
  2. Step 2: Convert to fraction form
    502,006.76/753,019.13 = 182,385.62/x
  3. Step 3: Cross multiply
    502,006.76x = 753,019.13 × 182,385.62
  4. Step 4: Simplify right side
    502,006.76x = 137,339,857,587.78
  5. Step 5: Solve for x
    x = 137,339,857,587.78/502,006.76
  6. Step 6: Final answer
    x = 273,581.69

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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.