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Finding the Fourth Proportional to 422,050.47, 582,431.36 and 231,081.63

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Solution

The fourth proportional to 422,050.47, 582,431.36 and 231,081.63 is: 318,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,050.47 : 582,431.36 = 231,081.63 : x
  2. Step 2: Convert to fraction form
    422,050.47/582,431.36 = 231,081.63/x
  3. Step 3: Cross multiply
    422,050.47x = 582,431.36 × 231,081.63
  4. Step 4: Simplify right side
    422,050.47x = 134,589,186,876.51
  5. Step 5: Solve for x
    x = 134,589,186,876.51/422,050.47
  6. Step 6: Final answer
    x = 318,893.58

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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.