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Finding the Fourth Proportional to 413,204.38, 570,198.09 and 231,899.38

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Solution

The fourth proportional to 413,204.38, 570,198.09 and 231,899.38 is: 320,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,204.38 : 570,198.09 = 231,899.38 : x
  2. Step 2: Convert to fraction form
    413,204.38/570,198.09 = 231,899.38/x
  3. Step 3: Cross multiply
    413,204.38x = 570,198.09 × 231,899.38
  4. Step 4: Simplify right side
    413,204.38x = 132,228,583,548.18
  5. Step 5: Solve for x
    x = 132,228,583,548.18/413,204.38
  6. Step 6: Final answer
    x = 320,007.70

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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.