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Finding the Fourth Proportional to 408,001.29, 563,034.31 and 226,709.92

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Solution

The fourth proportional to 408,001.29, 563,034.31 and 226,709.92 is: 312,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,001.29 : 563,034.31 = 226,709.92 : x
  2. Step 2: Convert to fraction form
    408,001.29/563,034.31 = 226,709.92/x
  3. Step 3: Cross multiply
    408,001.29x = 563,034.31 × 226,709.92
  4. Step 4: Simplify right side
    408,001.29x = 127,645,463,377.36
  5. Step 5: Solve for x
    x = 127,645,463,377.36/408,001.29
  6. Step 6: Final answer
    x = 312,855.54

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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.