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Finding the Fourth Proportional to 423,387.52, 584,272.56 and 232,404.16

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Solution

The fourth proportional to 423,387.52, 584,272.56 and 232,404.16 is: 320,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,387.52 : 584,272.56 = 232,404.16 : x
  2. Step 2: Convert to fraction form
    423,387.52/584,272.56 = 232,404.16/x
  3. Step 3: Cross multiply
    423,387.52x = 584,272.56 × 232,404.16
  4. Step 4: Simplify right side
    423,387.52x = 135,787,373,517.85
  5. Step 5: Solve for x
    x = 135,787,373,517.85/423,387.52
  6. Step 6: Final answer
    x = 320,716.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.