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Finding the Fourth Proportional to 408,741.12, 564,092.16 and 227,467.20

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Solution

The fourth proportional to 408,741.12, 564,092.16 and 227,467.20 is: 313,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,741.12 : 564,092.16 = 227,467.20 : x
  2. Step 2: Convert to fraction form
    408,741.12/564,092.16 = 227,467.20/x
  3. Step 3: Cross multiply
    408,741.12x = 564,092.16 × 227,467.20
  4. Step 4: Simplify right side
    408,741.12x = 128,312,464,177.15
  5. Step 5: Solve for x
    x = 128,312,464,177.15/408,741.12
  6. Step 6: Final answer
    x = 313,921.11

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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.