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Finding the Fourth Proportional to 275,449.44, 412,372.08 and 204,685.92

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Solution

The fourth proportional to 275,449.44, 412,372.08 and 204,685.92 is: 306,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,449.44 : 412,372.08 = 204,685.92 : x
  2. Step 2: Convert to fraction form
    275,449.44/412,372.08 = 204,685.92/x
  3. Step 3: Cross multiply
    275,449.44x = 412,372.08 × 204,685.92
  4. Step 4: Simplify right side
    275,449.44x = 84,406,758,577.11
  5. Step 5: Solve for x
    x = 84,406,758,577.11/275,449.44
  6. Step 6: Final answer
    x = 306,432.86

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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.