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Finding the Fourth Proportional to 378,414.01, 567,584.16 and 153,787.92

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Solution

The fourth proportional to 378,414.01, 567,584.16 and 153,787.92 is: 230,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414.01 : 567,584.16 = 153,787.92 : x
  2. Step 2: Convert to fraction form
    378,414.01/567,584.16 = 153,787.92/x
  3. Step 3: Cross multiply
    378,414.01x = 567,584.16 × 153,787.92
  4. Step 4: Simplify right side
    378,414.01x = 87,287,587,391.35
  5. Step 5: Solve for x
    x = 87,287,587,391.35/378,414.01
  6. Step 6: Final answer
    x = 230,666.90

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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.