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Finding the Fourth Proportional to 327,853.09, 491,736.57 and 103,214.70

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Solution

The fourth proportional to 327,853.09, 491,736.57 and 103,214.70 is: 154,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,853.09 : 491,736.57 = 103,214.70 : x
  2. Step 2: Convert to fraction form
    327,853.09/491,736.57 = 103,214.70/x
  3. Step 3: Cross multiply
    327,853.09x = 491,736.57 × 103,214.70
  4. Step 4: Simplify right side
    327,853.09x = 50,754,442,164.52
  5. Step 5: Solve for x
    x = 50,754,442,164.52/327,853.09
  6. Step 6: Final answer
    x = 154,808.49

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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.