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Finding the Fourth Proportional to 408,243.38, 563,395.07 and 226,958.33

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Solution

The fourth proportional to 408,243.38, 563,395.07 and 226,958.33 is: 313,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,243.38 : 563,395.07 = 226,958.33 : x
  2. Step 2: Convert to fraction form
    408,243.38/563,395.07 = 226,958.33/x
  3. Step 3: Cross multiply
    408,243.38x = 563,395.07 × 226,958.33
  4. Step 4: Simplify right side
    408,243.38x = 127,867,206,193.32
  5. Step 5: Solve for x
    x = 127,867,206,193.32/408,243.38
  6. Step 6: Final answer
    x = 313,213.18

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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.