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Finding the Fourth Proportional to 394,059.96, 591,083.60 and 267,385.14

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Solution

The fourth proportional to 394,059.96, 591,083.60 and 267,385.14 is: 401,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,059.96 : 591,083.60 = 267,385.14 : x
  2. Step 2: Convert to fraction form
    394,059.96/591,083.60 = 267,385.14/x
  3. Step 3: Cross multiply
    394,059.96x = 591,083.60 × 267,385.14
  4. Step 4: Simplify right side
    394,059.96x = 158,046,969,800.78
  5. Step 5: Solve for x
    x = 158,046,969,800.78/394,059.96
  6. Step 6: Final answer
    x = 401,073.40

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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.