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Finding the Fourth Proportional to 422,966.12, 583,693.62 and 231,983.24

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Solution

The fourth proportional to 422,966.12, 583,693.62 and 231,983.24 is: 320,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,966.12 : 583,693.62 = 231,983.24 : x
  2. Step 2: Convert to fraction form
    422,966.12/583,693.62 = 231,983.24/x
  3. Step 3: Cross multiply
    422,966.12x = 583,693.62 × 231,983.24
  4. Step 4: Simplify right side
    422,966.12x = 135,407,137,134.93
  5. Step 5: Solve for x
    x = 135,407,137,134.93/422,966.12
  6. Step 6: Final answer
    x = 320,137.08

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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.