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Finding the Fourth Proportional to 422,342.01, 582,832.05 and 231,362.19

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Solution

The fourth proportional to 422,342.01, 582,832.05 and 231,362.19 is: 319,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,342.01 : 582,832.05 = 231,362.19 : x
  2. Step 2: Convert to fraction form
    422,342.01/582,832.05 = 231,362.19/x
  3. Step 3: Cross multiply
    422,342.01x = 582,832.05 × 231,362.19
  4. Step 4: Simplify right side
    422,342.01x = 134,845,299,490.19
  5. Step 5: Solve for x
    x = 134,845,299,490.19/422,342.01
  6. Step 6: Final answer
    x = 319,279.86

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