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Finding the Fourth Proportional to 652,361.60, 978,542.40 and 413,213.15

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Solution

The fourth proportional to 652,361.60, 978,542.40 and 413,213.15 is: 619,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,361.60 : 978,542.40 = 413,213.15 : x
  2. Step 2: Convert to fraction form
    652,361.60/978,542.40 = 413,213.15/x
  3. Step 3: Cross multiply
    652,361.60x = 978,542.40 × 413,213.15
  4. Step 4: Simplify right side
    652,361.60x = 404,346,587,512.56
  5. Step 5: Solve for x
    x = 404,346,587,512.56/652,361.60
  6. Step 6: Final answer
    x = 619,819.73

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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.