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Finding the Fourth Proportional to 408,070.60, 612,105.90 and 221,446.60

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Solution

The fourth proportional to 408,070.60, 612,105.90 and 221,446.60 is: 332,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070.60 : 612,105.90 = 221,446.60 : x
  2. Step 2: Convert to fraction form
    408,070.60/612,105.90 = 221,446.60/x
  3. Step 3: Cross multiply
    408,070.60x = 612,105.90 × 221,446.60
  4. Step 4: Simplify right side
    408,070.60x = 135,548,770,394.94
  5. Step 5: Solve for x
    x = 135,548,770,394.94/408,070.60
  6. Step 6: Final answer
    x = 332,169.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.