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Finding the Fourth Proportional to 408,034.80, 612,149.40 and 197,499.60

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Solution

The fourth proportional to 408,034.80, 612,149.40 and 197,499.60 is: 296,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,034.80 : 612,149.40 = 197,499.60 : x
  2. Step 2: Convert to fraction form
    408,034.80/612,149.40 = 197,499.60/x
  3. Step 3: Cross multiply
    408,034.80x = 612,149.40 × 197,499.60
  4. Step 4: Simplify right side
    408,034.80x = 120,899,261,640.24
  5. Step 5: Solve for x
    x = 120,899,261,640.24/408,034.80
  6. Step 6: Final answer
    x = 296,296.45

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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.