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Finding the Fourth Proportional to 360,998.92, 498,162.36 and 199,842.60

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Solution

The fourth proportional to 360,998.92, 498,162.36 and 199,842.60 is: 275,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,998.92 : 498,162.36 = 199,842.60 : x
  2. Step 2: Convert to fraction form
    360,998.92/498,162.36 = 199,842.60/x
  3. Step 3: Cross multiply
    360,998.92x = 498,162.36 × 199,842.60
  4. Step 4: Simplify right side
    360,998.92x = 99,554,061,244.54
  5. Step 5: Solve for x
    x = 99,554,061,244.54/360,998.92
  6. Step 6: Final answer
    x = 275,773.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.