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Finding the Fourth Proportional to 427,402.70, 641,104.05 and 178,052.30

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Solution

The fourth proportional to 427,402.70, 641,104.05 and 178,052.30 is: 267,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,402.70 : 641,104.05 = 178,052.30 : x
  2. Step 2: Convert to fraction form
    427,402.70/641,104.05 = 178,052.30/x
  3. Step 3: Cross multiply
    427,402.70x = 641,104.05 × 178,052.30
  4. Step 4: Simplify right side
    427,402.70x = 114,150,050,641.82
  5. Step 5: Solve for x
    x = 114,150,050,641.82/427,402.70
  6. Step 6: Final answer
    x = 267,078.45

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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.