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Finding the Fourth Proportional to 498,433.56, 747,650.27 and 275,213.31

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Solution

The fourth proportional to 498,433.56, 747,650.27 and 275,213.31 is: 412,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,433.56 : 747,650.27 = 275,213.31 : x
  2. Step 2: Convert to fraction form
    498,433.56/747,650.27 = 275,213.31/x
  3. Step 3: Cross multiply
    498,433.56x = 747,650.27 × 275,213.31
  4. Step 4: Simplify right side
    498,433.56x = 205,763,300,414.78
  5. Step 5: Solve for x
    x = 205,763,300,414.78/498,433.56
  6. Step 6: Final answer
    x = 412,819.92

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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.