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Finding the Fourth Proportional to 422,342.60, 582,832.90 and 231,362.84

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Solution

The fourth proportional to 422,342.60, 582,832.90 and 231,362.84 is: 319,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,342.60 : 582,832.90 = 231,362.84 : x
  2. Step 2: Convert to fraction form
    422,342.60/582,832.90 = 231,362.84/x
  3. Step 3: Cross multiply
    422,342.60x = 582,832.90 × 231,362.84
  4. Step 4: Simplify right side
    422,342.60x = 134,845,874,989.44
  5. Step 5: Solve for x
    x = 134,845,874,989.44/422,342.60
  6. Step 6: Final answer
    x = 319,280.78

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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.