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Finding the Fourth Proportional to 422,183.52, 582,614.82 and 231,195.24

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Solution

The fourth proportional to 422,183.52, 582,614.82 and 231,195.24 is: 319,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,183.52 : 582,614.82 = 231,195.24 : x
  2. Step 2: Convert to fraction form
    422,183.52/582,614.82 = 231,195.24/x
  3. Step 3: Cross multiply
    422,183.52x = 582,614.82 × 231,195.24
  4. Step 4: Simplify right side
    422,183.52x = 134,697,773,137.46
  5. Step 5: Solve for x
    x = 134,697,773,137.46/422,183.52
  6. Step 6: Final answer
    x = 319,050.29

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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.