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Finding the Fourth Proportional to 408,144.30, 563,215.02 and 226,850.00

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Solution

The fourth proportional to 408,144.30, 563,215.02 and 226,850.00 is: 313,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,144.30 : 563,215.02 = 226,850.00 : x
  2. Step 2: Convert to fraction form
    408,144.30/563,215.02 = 226,850.00/x
  3. Step 3: Cross multiply
    408,144.30x = 563,215.02 × 226,850.00
  4. Step 4: Simplify right side
    408,144.30x = 127,765,324,470.93
  5. Step 5: Solve for x
    x = 127,765,324,470.93/408,144.30
  6. Step 6: Final answer
    x = 313,039.59

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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.