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Finding the Fourth Proportional to 408,503.14, 563,726.23 and 227,211.17

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Solution

The fourth proportional to 408,503.14, 563,726.23 and 227,211.17 is: 313,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,503.14 : 563,726.23 = 227,211.17 : x
  2. Step 2: Convert to fraction form
    408,503.14/563,726.23 = 227,211.17/x
  3. Step 3: Cross multiply
    408,503.14x = 563,726.23 × 227,211.17
  4. Step 4: Simplify right side
    408,503.14x = 128,084,892,891.33
  5. Step 5: Solve for x
    x = 128,084,892,891.33/408,503.14
  6. Step 6: Final answer
    x = 313,546.90

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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.