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Finding the Fourth Proportional to 283,724.75, 391,542.84 and 156,404.90

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Solution

The fourth proportional to 283,724.75, 391,542.84 and 156,404.90 is: 215,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,724.75 : 391,542.84 = 156,404.90 : x
  2. Step 2: Convert to fraction form
    283,724.75/391,542.84 = 156,404.90/x
  3. Step 3: Cross multiply
    283,724.75x = 391,542.84 × 156,404.90
  4. Step 4: Simplify right side
    283,724.75x = 61,239,216,778.20
  5. Step 5: Solve for x
    x = 61,239,216,778.20/283,724.75
  6. Step 6: Final answer
    x = 215,840.24

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1.5x scale

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.