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Finding the Fourth Proportional to 381,670.60, 572,505.90 and 132,377.80

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Solution

The fourth proportional to 381,670.60, 572,505.90 and 132,377.80 is: 198,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,670.60 : 572,505.90 = 132,377.80 : x
  2. Step 2: Convert to fraction form
    381,670.60/572,505.90 = 132,377.80/x
  3. Step 3: Cross multiply
    381,670.60x = 572,505.90 × 132,377.80
  4. Step 4: Simplify right side
    381,670.60x = 75,787,071,529.02
  5. Step 5: Solve for x
    x = 75,787,071,529.02/381,670.60
  6. Step 6: Final answer
    x = 198,566.70

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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.