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Finding the Fourth Proportional to 362,604.26, 543,824.37 and 137,884.56

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Solution

The fourth proportional to 362,604.26, 543,824.37 and 137,884.56 is: 206,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,604.26 : 543,824.37 = 137,884.56 : x
  2. Step 2: Convert to fraction form
    362,604.26/543,824.37 = 137,884.56/x
  3. Step 3: Cross multiply
    362,604.26x = 543,824.37 × 137,884.56
  4. Step 4: Simplify right side
    362,604.26x = 74,984,983,974.73
  5. Step 5: Solve for x
    x = 74,984,983,974.73/362,604.26
  6. Step 6: Final answer
    x = 206,795.65

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Why These Related Problems?

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