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Finding the Fourth Proportional to 312,539.29, 431,216.71 and 196,265.30

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Solution

The fourth proportional to 312,539.29, 431,216.71 and 196,265.30 is: 270,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,539.29 : 431,216.71 = 196,265.30 : x
  2. Step 2: Convert to fraction form
    312,539.29/431,216.71 = 196,265.30/x
  3. Step 3: Cross multiply
    312,539.29x = 431,216.71 × 196,265.30
  4. Step 4: Simplify right side
    312,539.29x = 84,632,873,815.75
  5. Step 5: Solve for x
    x = 84,632,873,815.75/312,539.29
  6. Step 6: Final answer
    x = 270,791.15

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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.