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Finding the Fourth Proportional to 300,727.38, 414,930.69 and 166,591.38

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Solution

The fourth proportional to 300,727.38, 414,930.69 and 166,591.38 is: 229,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,727.38 : 414,930.69 = 166,591.38 : x
  2. Step 2: Convert to fraction form
    300,727.38/414,930.69 = 166,591.38/x
  3. Step 3: Cross multiply
    300,727.38x = 414,930.69 × 166,591.38
  4. Step 4: Simplify right side
    300,727.38x = 69,123,876,251.45
  5. Step 5: Solve for x
    x = 69,123,876,251.45/300,727.38
  6. Step 6: Final answer
    x = 229,855.61

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