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Finding the Fourth Proportional to 408,035.80, 612,150.90 and 197,500.60

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Solution

The fourth proportional to 408,035.80, 612,150.90 and 197,500.60 is: 296,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.80 : 612,150.90 = 197,500.60 : x
  2. Step 2: Convert to fraction form
    408,035.80/612,150.90 = 197,500.60/x
  3. Step 3: Cross multiply
    408,035.80x = 612,150.90 × 197,500.60
  4. Step 4: Simplify right side
    408,035.80x = 120,900,170,040.54
  5. Step 5: Solve for x
    x = 120,900,170,040.54/408,035.80
  6. Step 6: Final answer
    x = 296,297.95

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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.