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Finding the Fourth Proportional to 395,714.52, 593,654.82 and 129,454.17

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Solution

The fourth proportional to 395,714.52, 593,654.82 and 129,454.17 is: 194,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,714.52 : 593,654.82 = 129,454.17 : x
  2. Step 2: Convert to fraction form
    395,714.52/593,654.82 = 129,454.17/x
  3. Step 3: Cross multiply
    395,714.52x = 593,654.82 × 129,454.17
  4. Step 4: Simplify right side
    395,714.52x = 76,851,091,989.60
  5. Step 5: Solve for x
    x = 76,851,091,989.60/395,714.52
  6. Step 6: Final answer
    x = 194,208.42

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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.