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Finding the Fourth Proportional to 408,942.60, 564,357.30 and 227,661.96

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Solution

The fourth proportional to 408,942.60, 564,357.30 and 227,661.96 is: 314,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,942.60 : 564,357.30 = 227,661.96 : x
  2. Step 2: Convert to fraction form
    408,942.60/564,357.30 = 227,661.96/x
  3. Step 3: Cross multiply
    408,942.60x = 564,357.30 × 227,661.96
  4. Step 4: Simplify right side
    408,942.60x = 128,482,689,058.31
  5. Step 5: Solve for x
    x = 128,482,689,058.31/408,942.60
  6. Step 6: Final answer
    x = 314,182.70

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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.