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Finding the Fourth Proportional to 475,912.38, 713,791.96 and 138,873.90

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Solution

The fourth proportional to 475,912.38, 713,791.96 and 138,873.90 is: 208,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,912.38 : 713,791.96 = 138,873.90 : x
  2. Step 2: Convert to fraction form
    475,912.38/713,791.96 = 138,873.90/x
  3. Step 3: Cross multiply
    475,912.38x = 713,791.96 × 138,873.90
  4. Step 4: Simplify right side
    475,912.38x = 99,127,073,273.84
  5. Step 5: Solve for x
    x = 99,127,073,273.84/475,912.38
  6. Step 6: Final answer
    x = 208,288.49

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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.