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Finding the Fourth Proportional to 414,755.12, 622,231.50 and 134,272.38

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Solution

The fourth proportional to 414,755.12, 622,231.50 and 134,272.38 is: 201,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,755.12 : 622,231.50 = 134,272.38 : x
  2. Step 2: Convert to fraction form
    414,755.12/622,231.50 = 134,272.38/x
  3. Step 3: Cross multiply
    414,755.12x = 622,231.50 × 134,272.38
  4. Step 4: Simplify right side
    414,755.12x = 83,548,504,415.97
  5. Step 5: Solve for x
    x = 83,548,504,415.97/414,755.12
  6. Step 6: Final answer
    x = 201,440.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.