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Finding the Fourth Proportional to 362,172.32, 543,791.67 and 202,560.98

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Solution

The fourth proportional to 362,172.32, 543,791.67 and 202,560.98 is: 304,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,172.32 : 543,791.67 = 202,560.98 : x
  2. Step 2: Convert to fraction form
    362,172.32/543,791.67 = 202,560.98/x
  3. Step 3: Cross multiply
    362,172.32x = 543,791.67 × 202,560.98
  4. Step 4: Simplify right side
    362,172.32x = 110,150,973,591.04
  5. Step 5: Solve for x
    x = 110,150,973,591.04/362,172.32
  6. Step 6: Final answer
    x = 304,139.68

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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.