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Finding the Fourth Proportional to 283,711.50, 391,524.52 and 156,391.64

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Solution

The fourth proportional to 283,711.50, 391,524.52 and 156,391.64 is: 215,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,711.50 : 391,524.52 = 156,391.64 : x
  2. Step 2: Convert to fraction form
    283,711.50/391,524.52 = 156,391.64/x
  3. Step 3: Cross multiply
    283,711.50x = 391,524.52 × 156,391.64
  4. Step 4: Simplify right side
    283,711.50x = 61,231,161,783.01
  5. Step 5: Solve for x
    x = 61,231,161,783.01/283,711.50
  6. Step 6: Final answer
    x = 215,821.92

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