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Finding the Fourth Proportional to 408,072.80, 563,129.22 and 226,780.16

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Solution

The fourth proportional to 408,072.80, 563,129.22 and 226,780.16 is: 312,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072.80 : 563,129.22 = 226,780.16 : x
  2. Step 2: Convert to fraction form
    408,072.80/563,129.22 = 226,780.16/x
  3. Step 3: Cross multiply
    408,072.80x = 563,129.22 × 226,780.16
  4. Step 4: Simplify right side
    408,072.80x = 127,706,534,612.28
  5. Step 5: Solve for x
    x = 127,706,534,612.28/408,072.80
  6. Step 6: Final answer
    x = 312,950.37

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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.