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Finding the Fourth Proportional to 256,442.10, 384,663.15 and 252,942.90

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Solution

The fourth proportional to 256,442.10, 384,663.15 and 252,942.90 is: 379,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.10 : 384,663.15 = 252,942.90 : x
  2. Step 2: Convert to fraction form
    256,442.10/384,663.15 = 252,942.90/x
  3. Step 3: Cross multiply
    256,442.10x = 384,663.15 × 252,942.90
  4. Step 4: Simplify right side
    256,442.10x = 97,297,812,684.14
  5. Step 5: Solve for x
    x = 97,297,812,684.14/256,442.10
  6. Step 6: Final answer
    x = 379,414.35

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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.