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Finding the Fourth Proportional to 408,877.27, 564,250.59 and 227,585.30

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Solution

The fourth proportional to 408,877.27, 564,250.59 and 227,585.30 is: 314,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,877.27 : 564,250.59 = 227,585.30 : x
  2. Step 2: Convert to fraction form
    408,877.27/564,250.59 = 227,585.30/x
  3. Step 3: Cross multiply
    408,877.27x = 564,250.59 × 227,585.30
  4. Step 4: Simplify right side
    408,877.27x = 128,415,136,979.07
  5. Step 5: Solve for x
    x = 128,415,136,979.07/408,877.27
  6. Step 6: Final answer
    x = 314,067.69

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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.