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Finding the Fourth Proportional to 408,954.20, 613,431.30 and 128,499.80

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Solution

The fourth proportional to 408,954.20, 613,431.30 and 128,499.80 is: 192,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,954.20 : 613,431.30 = 128,499.80 : x
  2. Step 2: Convert to fraction form
    408,954.20/613,431.30 = 128,499.80/x
  3. Step 3: Cross multiply
    408,954.20x = 613,431.30 × 128,499.80
  4. Step 4: Simplify right side
    408,954.20x = 78,825,799,363.74
  5. Step 5: Solve for x
    x = 78,825,799,363.74/408,954.20
  6. Step 6: Final answer
    x = 192,749.70

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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.