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Finding the Fourth Proportional to 409,268.08, 564,781.44 and 227,979.76

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Solution

The fourth proportional to 409,268.08, 564,781.44 and 227,979.76 is: 314,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,268.08 : 564,781.44 = 227,979.76 : x
  2. Step 2: Convert to fraction form
    409,268.08/564,781.44 = 227,979.76/x
  3. Step 3: Cross multiply
    409,268.08x = 564,781.44 × 227,979.76
  4. Step 4: Simplify right side
    409,268.08x = 128,758,737,143.65
  5. Step 5: Solve for x
    x = 128,758,737,143.65/409,268.08
  6. Step 6: Final answer
    x = 314,607.33

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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.