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Finding the Fourth Proportional to 502,410.69, 753,338.70 and 261,924.57

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Solution

The fourth proportional to 502,410.69, 753,338.70 and 261,924.57 is: 392,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,410.69 : 753,338.70 = 261,924.57 : x
  2. Step 2: Convert to fraction form
    502,410.69/753,338.70 = 261,924.57/x
  3. Step 3: Cross multiply
    502,410.69x = 753,338.70 × 261,924.57
  4. Step 4: Simplify right side
    502,410.69x = 197,317,915,061.86
  5. Step 5: Solve for x
    x = 197,317,915,061.86/502,410.69
  6. Step 6: Final answer
    x = 392,742.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.