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Finding the Fourth Proportional to 498,911.74, 748,553.47 and 299,375.33

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Solution

The fourth proportional to 498,911.74, 748,553.47 and 299,375.33 is: 449,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,911.74 : 748,553.47 = 299,375.33 : x
  2. Step 2: Convert to fraction form
    498,911.74/748,553.47 = 299,375.33/x
  3. Step 3: Cross multiply
    498,911.74x = 748,553.47 × 299,375.33
  4. Step 4: Simplify right side
    498,911.74x = 224,098,437,612.69
  5. Step 5: Solve for x
    x = 224,098,437,612.69/498,911.74
  6. Step 6: Final answer
    x = 449,174.51

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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.