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Finding the Fourth Proportional to 546,121.14, 819,342.96 and 280,068

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Solution

The fourth proportional to 546,121.14, 819,342.96 and 280,068 is: 420,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,121.14 : 819,342.96 = 280,068 : x
  2. Step 2: Convert to fraction form
    546,121.14/819,342.96 = 280,068/x
  3. Step 3: Cross multiply
    546,121.14x = 819,342.96 × 280,068
  4. Step 4: Simplify right side
    546,121.14x = 229,471,744,121.28
  5. Step 5: Solve for x
    x = 229,471,744,121.28/546,121.14
  6. Step 6: Final answer
    x = 420,184.69

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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.