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Finding the Fourth Proportional to 412,918.38, 569,791.53 and 231,601.50

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Solution

The fourth proportional to 412,918.38, 569,791.53 and 231,601.50 is: 319,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,918.38 : 569,791.53 = 231,601.50 : x
  2. Step 2: Convert to fraction form
    412,918.38/569,791.53 = 231,601.50/x
  3. Step 3: Cross multiply
    412,918.38x = 569,791.53 × 231,601.50
  4. Step 4: Simplify right side
    412,918.38x = 131,964,573,035.30
  5. Step 5: Solve for x
    x = 131,964,573,035.30/412,918.38
  6. Step 6: Final answer
    x = 319,589.97

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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.