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Finding the Fourth Proportional to 422,168.70, 582,593.10 and 231,182.13

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Solution

The fourth proportional to 422,168.70, 582,593.10 and 231,182.13 is: 319,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,168.70 : 582,593.10 = 231,182.13 : x
  2. Step 2: Convert to fraction form
    422,168.70/582,593.10 = 231,182.13/x
  3. Step 3: Cross multiply
    422,168.70x = 582,593.10 × 231,182.13
  4. Step 4: Simplify right side
    422,168.70x = 134,685,113,781.30
  5. Step 5: Solve for x
    x = 134,685,113,781.30/422,168.70
  6. Step 6: Final answer
    x = 319,031.50

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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.