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Finding the Fourth Proportional to 408,867.25, 564,236.83 and 227,575.29

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Solution

The fourth proportional to 408,867.25, 564,236.83 and 227,575.29 is: 314,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,867.25 : 564,236.83 = 227,575.29 : x
  2. Step 2: Convert to fraction form
    408,867.25/564,236.83 = 227,575.29/x
  3. Step 3: Cross multiply
    408,867.25x = 564,236.83 × 227,575.29
  4. Step 4: Simplify right side
    408,867.25x = 128,406,360,472.63
  5. Step 5: Solve for x
    x = 128,406,360,472.63/408,867.25
  6. Step 6: Final answer
    x = 314,053.91

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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.