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Finding the Fourth Proportional to 408,287.98, 563,436.84 and 226,994.14

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Solution

The fourth proportional to 408,287.98, 563,436.84 and 226,994.14 is: 313,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,287.98 : 563,436.84 = 226,994.14 : x
  2. Step 2: Convert to fraction form
    408,287.98/563,436.84 = 226,994.14/x
  3. Step 3: Cross multiply
    408,287.98x = 563,436.84 × 226,994.14
  4. Step 4: Simplify right side
    408,287.98x = 127,896,860,940.12
  5. Step 5: Solve for x
    x = 127,896,860,940.12/408,287.98
  6. Step 6: Final answer
    x = 313,251.59

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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.