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Finding the Fourth Proportional to 537,116.80, 741,163.08 and 310,720

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Solution

The fourth proportional to 537,116.80, 741,163.08 and 310,720 is: 428,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,116.80 : 741,163.08 = 310,720 : x
  2. Step 2: Convert to fraction form
    537,116.80/741,163.08 = 310,720/x
  3. Step 3: Cross multiply
    537,116.80x = 741,163.08 × 310,720
  4. Step 4: Simplify right side
    537,116.80x = 230,294,192,217.60
  5. Step 5: Solve for x
    x = 230,294,192,217.60/537,116.80
  6. Step 6: Final answer
    x = 428,759.99

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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.