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Finding the Fourth Proportional to 408,466.80, 563,641.20 and 227,149.38

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Solution

The fourth proportional to 408,466.80, 563,641.20 and 227,149.38 is: 313,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,466.80 : 563,641.20 = 227,149.38 : x
  2. Step 2: Convert to fraction form
    408,466.80/563,641.20 = 227,149.38/x
  3. Step 3: Cross multiply
    408,466.80x = 563,641.20 × 227,149.38
  4. Step 4: Simplify right side
    408,466.80x = 128,030,749,122.46
  5. Step 5: Solve for x
    x = 128,030,749,122.46/408,466.80
  6. Step 6: Final answer
    x = 313,442.24

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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.