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Finding the Fourth Proportional to 408,058.62, 563,109.66 and 226,765.91

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Solution

The fourth proportional to 408,058.62, 563,109.66 and 226,765.91 is: 312,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,058.62 : 563,109.66 = 226,765.91 : x
  2. Step 2: Convert to fraction form
    408,058.62/563,109.66 = 226,765.91/x
  3. Step 3: Cross multiply
    408,058.62x = 563,109.66 × 226,765.91
  4. Step 4: Simplify right side
    408,058.62x = 127,694,071,664.14
  5. Step 5: Solve for x
    x = 127,694,071,664.14/408,058.62
  6. Step 6: Final answer
    x = 312,930.71

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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.