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Finding the Fourth Proportional to 422,224.82, 582,670.48 and 231,238.16

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Solution

The fourth proportional to 422,224.82, 582,670.48 and 231,238.16 is: 319,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,224.82 : 582,670.48 = 231,238.16 : x
  2. Step 2: Convert to fraction form
    422,224.82/582,670.48 = 231,238.16/x
  3. Step 3: Cross multiply
    422,224.82x = 582,670.48 × 231,238.16
  4. Step 4: Simplify right side
    422,224.82x = 134,735,649,681.52
  5. Step 5: Solve for x
    x = 134,735,649,681.52/422,224.82
  6. Step 6: Final answer
    x = 319,108.79

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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.