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Finding the Fourth Proportional to 257,414.10, 385,343.55 and 226,310.10

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Solution

The fourth proportional to 257,414.10, 385,343.55 and 226,310.10 is: 338,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414.10 : 385,343.55 = 226,310.10 : x
  2. Step 2: Convert to fraction form
    257,414.10/385,343.55 = 226,310.10/x
  3. Step 3: Cross multiply
    257,414.10x = 385,343.55 × 226,310.10
  4. Step 4: Simplify right side
    257,414.10x = 87,207,137,334.86
  5. Step 5: Solve for x
    x = 87,207,137,334.86/257,414.10
  6. Step 6: Final answer
    x = 338,781.51

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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.