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Finding the Fourth Proportional to 647,022.80, 970,534.20 and 409,660.40

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Solution

The fourth proportional to 647,022.80, 970,534.20 and 409,660.40 is: 614,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,022.80 : 970,534.20 = 409,660.40 : x
  2. Step 2: Convert to fraction form
    647,022.80/970,534.20 = 409,660.40/x
  3. Step 3: Cross multiply
    647,022.80x = 970,534.20 × 409,660.40
  4. Step 4: Simplify right side
    647,022.80x = 397,589,428,585.68
  5. Step 5: Solve for x
    x = 397,589,428,585.68/647,022.80
  6. Step 6: Final answer
    x = 614,490.60

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Similar ratio
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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.