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Finding the Fourth Proportional to 422,033.83, 582,462.15 and 240,704.20

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Solution

The fourth proportional to 422,033.83, 582,462.15 and 240,704.20 is: 332,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,033.83 : 582,462.15 = 240,704.20 : x
  2. Step 2: Convert to fraction form
    422,033.83/582,462.15 = 240,704.20/x
  3. Step 3: Cross multiply
    422,033.83x = 582,462.15 × 240,704.20
  4. Step 4: Simplify right side
    422,033.83x = 140,201,085,846.03
  5. Step 5: Solve for x
    x = 140,201,085,846.03/422,033.83
  6. Step 6: Final answer
    x = 332,203.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.