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Finding the Fourth Proportional to 408,815.31, 564,159.45 and 227,527.20

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Solution

The fourth proportional to 408,815.31, 564,159.45 and 227,527.20 is: 313,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,815.31 : 564,159.45 = 227,527.20 : x
  2. Step 2: Convert to fraction form
    408,815.31/564,159.45 = 227,527.20/x
  3. Step 3: Cross multiply
    408,815.31x = 564,159.45 × 227,527.20
  4. Step 4: Simplify right side
    408,815.31x = 128,361,620,012.04
  5. Step 5: Solve for x
    x = 128,361,620,012.04/408,815.31
  6. Step 6: Final answer
    x = 313,984.38

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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.