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Finding the Fourth Proportional to 416,132.20, 624,198.30 and 206,180.20

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Solution

The fourth proportional to 416,132.20, 624,198.30 and 206,180.20 is: 309,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,132.20 : 624,198.30 = 206,180.20 : x
  2. Step 2: Convert to fraction form
    416,132.20/624,198.30 = 206,180.20/x
  3. Step 3: Cross multiply
    416,132.20x = 624,198.30 × 206,180.20
  4. Step 4: Simplify right side
    416,132.20x = 128,697,330,333.66
  5. Step 5: Solve for x
    x = 128,697,330,333.66/416,132.20
  6. Step 6: Final answer
    x = 309,270.30

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1.5x scale

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.