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Finding the Fourth Proportional to 422,971.93, 583,716.14 and 231,986.08

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Solution

The fourth proportional to 422,971.93, 583,716.14 and 231,986.08 is: 320,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,971.93 : 583,716.14 = 231,986.08 : x
  2. Step 2: Convert to fraction form
    422,971.93/583,716.14 = 231,986.08/x
  3. Step 3: Cross multiply
    422,971.93x = 583,716.14 × 231,986.08
  4. Step 4: Simplify right side
    422,971.93x = 135,414,019,151.33
  5. Step 5: Solve for x
    x = 135,414,019,151.33/422,971.93
  6. Step 6: Final answer
    x = 320,148.95

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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.