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Finding the Fourth Proportional to 395,410.62, 593,175.33 and 114,891.42

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Solution

The fourth proportional to 395,410.62, 593,175.33 and 114,891.42 is: 172,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,410.62 : 593,175.33 = 114,891.42 : x
  2. Step 2: Convert to fraction form
    395,410.62/593,175.33 = 114,891.42/x
  3. Step 3: Cross multiply
    395,410.62x = 593,175.33 × 114,891.42
  4. Step 4: Simplify right side
    395,410.62x = 68,150,755,972.67
  5. Step 5: Solve for x
    x = 68,150,755,972.67/395,410.62
  6. Step 6: Final answer
    x = 172,354.39

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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.