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Finding the Fourth Proportional to 427,614.34, 641,414.63 and 147,134.02

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Solution

The fourth proportional to 427,614.34, 641,414.63 and 147,134.02 is: 220,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,614.34 : 641,414.63 = 147,134.02 : x
  2. Step 2: Convert to fraction form
    427,614.34/641,414.63 = 147,134.02/x
  3. Step 3: Cross multiply
    427,614.34x = 641,414.63 × 147,134.02
  4. Step 4: Simplify right side
    427,614.34x = 94,373,912,998.71
  5. Step 5: Solve for x
    x = 94,373,912,998.71/427,614.34
  6. Step 6: Final answer
    x = 220,698.66

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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.