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Finding the Fourth Proportional to 408,964.66, 564,360.23 and 227,676.61

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Solution

The fourth proportional to 408,964.66, 564,360.23 and 227,676.61 is: 314,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,964.66 : 564,360.23 = 227,676.61 : x
  2. Step 2: Convert to fraction form
    408,964.66/564,360.23 = 227,676.61/x
  3. Step 3: Cross multiply
    408,964.66x = 564,360.23 × 227,676.61
  4. Step 4: Simplify right side
    408,964.66x = 128,491,621,435.94
  5. Step 5: Solve for x
    x = 128,491,621,435.94/408,964.66
  6. Step 6: Final answer
    x = 314,187.59

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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.