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Finding the Fourth Proportional to 381,179.42, 571,773.60 and 114,942.26

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Solution

The fourth proportional to 381,179.42, 571,773.60 and 114,942.26 is: 172,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,179.42 : 571,773.60 = 114,942.26 : x
  2. Step 2: Convert to fraction form
    381,179.42/571,773.60 = 114,942.26/x
  3. Step 3: Cross multiply
    381,179.42x = 571,773.60 × 114,942.26
  4. Step 4: Simplify right side
    381,179.42x = 65,720,949,792.34
  5. Step 5: Solve for x
    x = 65,720,949,792.34/381,179.42
  6. Step 6: Final answer
    x = 172,414.74

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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.