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Finding the Fourth Proportional to 431,474.40, 647,365.20 and 416,114.40

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Solution

The fourth proportional to 431,474.40, 647,365.20 and 416,114.40 is: 624,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,474.40 : 647,365.20 = 416,114.40 : x
  2. Step 2: Convert to fraction form
    431,474.40/647,365.20 = 416,114.40/x
  3. Step 3: Cross multiply
    431,474.40x = 647,365.20 × 416,114.40
  4. Step 4: Simplify right side
    431,474.40x = 269,377,981,778.88
  5. Step 5: Solve for x
    x = 269,377,981,778.88/431,474.40
  6. Step 6: Final answer
    x = 624,319.73

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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.