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Finding the Fourth Proportional to 258,398.90, 387,654.24 and 78,469.54

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Solution

The fourth proportional to 258,398.90, 387,654.24 and 78,469.54 is: 117,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,398.90 : 387,654.24 = 78,469.54 : x
  2. Step 2: Convert to fraction form
    258,398.90/387,654.24 = 78,469.54/x
  3. Step 3: Cross multiply
    258,398.90x = 387,654.24 × 78,469.54
  4. Step 4: Simplify right side
    258,398.90x = 30,419,049,891.85
  5. Step 5: Solve for x
    x = 30,419,049,891.85/258,398.90
  6. Step 6: Final answer
    x = 117,721.28

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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.