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Finding the Fourth Proportional to 280,471.50, 420,473.04 and 130,634.66

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Solution

The fourth proportional to 280,471.50, 420,473.04 and 130,634.66 is: 195,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,471.50 : 420,473.04 = 130,634.66 : x
  2. Step 2: Convert to fraction form
    280,471.50/420,473.04 = 130,634.66/x
  3. Step 3: Cross multiply
    280,471.50x = 420,473.04 × 130,634.66
  4. Step 4: Simplify right side
    280,471.50x = 54,928,350,517.20
  5. Step 5: Solve for x
    x = 54,928,350,517.20/280,471.50
  6. Step 6: Final answer
    x = 195,842.89

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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.