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Finding the Fourth Proportional to 331,572.90, 497,306.55 and 109,956.90

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Solution

The fourth proportional to 331,572.90, 497,306.55 and 109,956.90 is: 164,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,572.90 : 497,306.55 = 109,956.90 : x
  2. Step 2: Convert to fraction form
    331,572.90/497,306.55 = 109,956.90/x
  3. Step 3: Cross multiply
    331,572.90x = 497,306.55 × 109,956.90
  4. Step 4: Simplify right side
    331,572.90x = 54,682,286,587.70
  5. Step 5: Solve for x
    x = 54,682,286,587.70/331,572.90
  6. Step 6: Final answer
    x = 164,917.84

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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.