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Finding the Fourth Proportional to 408,839.19, 564,192.42 and 227,551.20

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Solution

The fourth proportional to 408,839.19, 564,192.42 and 227,551.20 is: 314,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,839.19 : 564,192.42 = 227,551.20 : x
  2. Step 2: Convert to fraction form
    408,839.19/564,192.42 = 227,551.20/x
  3. Step 3: Cross multiply
    408,839.19x = 564,192.42 × 227,551.20
  4. Step 4: Simplify right side
    408,839.19x = 128,382,662,201.90
  5. Step 5: Solve for x
    x = 128,382,662,201.90/408,839.19
  6. Step 6: Final answer
    x = 314,017.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.