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Finding the Fourth Proportional to 408,865.33, 564,229.84 and 227,574.37

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Solution

The fourth proportional to 408,865.33, 564,229.84 and 227,574.37 is: 314,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,865.33 : 564,229.84 = 227,574.37 : x
  2. Step 2: Convert to fraction form
    408,865.33/564,229.84 = 227,574.37/x
  3. Step 3: Cross multiply
    408,865.33x = 564,229.84 × 227,574.37
  4. Step 4: Simplify right side
    408,865.33x = 128,404,250,373.20
  5. Step 5: Solve for x
    x = 128,404,250,373.20/408,865.33
  6. Step 6: Final answer
    x = 314,050.23

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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.