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Finding the Fourth Proportional to 408,023.80, 612,132.90 and 197,488.60

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Solution

The fourth proportional to 408,023.80, 612,132.90 and 197,488.60 is: 296,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.80 : 612,132.90 = 197,488.60 : x
  2. Step 2: Convert to fraction form
    408,023.80/612,132.90 = 197,488.60/x
  3. Step 3: Cross multiply
    408,023.80x = 612,132.90 × 197,488.60
  4. Step 4: Simplify right side
    408,023.80x = 120,889,269,434.94
  5. Step 5: Solve for x
    x = 120,889,269,434.94/408,023.80
  6. Step 6: Final answer
    x = 296,279.95

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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.