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Finding the Fourth Proportional to 257,105.60, 385,658.40 and 251,856.80

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Solution

The fourth proportional to 257,105.60, 385,658.40 and 251,856.80 is: 377,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,105.60 : 385,658.40 = 251,856.80 : x
  2. Step 2: Convert to fraction form
    257,105.60/385,658.40 = 251,856.80/x
  3. Step 3: Cross multiply
    257,105.60x = 385,658.40 × 251,856.80
  4. Step 4: Simplify right side
    257,105.60x = 97,130,690,517.12
  5. Step 5: Solve for x
    x = 97,130,690,517.12/257,105.60
  6. Step 6: Final answer
    x = 377,785.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.