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Finding the Fourth Proportional to 283,758.38, 391,589.58 and 156,438.52

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Solution

The fourth proportional to 283,758.38, 391,589.58 and 156,438.52 is: 215,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,758.38 : 391,589.58 = 156,438.52 : x
  2. Step 2: Convert to fraction form
    283,758.38/391,589.58 = 156,438.52/x
  3. Step 3: Cross multiply
    283,758.38x = 391,589.58 × 156,438.52
  4. Step 4: Simplify right side
    283,758.38x = 61,259,694,342.62
  5. Step 5: Solve for x
    x = 61,259,694,342.62/283,758.38
  6. Step 6: Final answer
    x = 215,886.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.