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Finding the Fourth Proportional to 422,176.92, 582,617.34 and 231,208.44

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Solution

The fourth proportional to 422,176.92, 582,617.34 and 231,208.44 is: 319,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,176.92 : 582,617.34 = 231,208.44 : x
  2. Step 2: Convert to fraction form
    422,176.92/582,617.34 = 231,208.44/x
  3. Step 3: Cross multiply
    422,176.92x = 582,617.34 × 231,208.44
  4. Step 4: Simplify right side
    422,176.92x = 134,706,046,298.35
  5. Step 5: Solve for x
    x = 134,706,046,298.35/422,176.92
  6. Step 6: Final answer
    x = 319,074.87

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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.