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Finding the Fourth Proportional to 408,874.26, 564,246.50 and 227,582.30

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Solution

The fourth proportional to 408,874.26, 564,246.50 and 227,582.30 is: 314,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,874.26 : 564,246.50 = 227,582.30 : x
  2. Step 2: Convert to fraction form
    408,874.26/564,246.50 = 227,582.30/x
  3. Step 3: Cross multiply
    408,874.26x = 564,246.50 × 227,582.30
  4. Step 4: Simplify right side
    408,874.26x = 128,412,516,236.95
  5. Step 5: Solve for x
    x = 128,412,516,236.95/408,874.26
  6. Step 6: Final answer
    x = 314,063.59

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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.