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Finding the Fourth Proportional to 408,078.38, 563,149.33 and 226,789.76

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Solution

The fourth proportional to 408,078.38, 563,149.33 and 226,789.76 is: 312,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.38 : 563,149.33 = 226,789.76 : x
  2. Step 2: Convert to fraction form
    408,078.38/563,149.33 = 226,789.76/x
  3. Step 3: Cross multiply
    408,078.38x = 563,149.33 × 226,789.76
  4. Step 4: Simplify right side
    408,078.38x = 127,716,502,235.76
  5. Step 5: Solve for x
    x = 127,716,502,235.76/408,078.38
  6. Step 6: Final answer
    x = 312,970.52

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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.