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Finding the Fourth Proportional to 362,171.32, 543,790.17 and 202,559.98

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Solution

The fourth proportional to 362,171.32, 543,790.17 and 202,559.98 is: 304,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,171.32 : 543,790.17 = 202,559.98 : x
  2. Step 2: Convert to fraction form
    362,171.32/543,790.17 = 202,559.98/x
  3. Step 3: Cross multiply
    362,171.32x = 543,790.17 × 202,559.98
  4. Step 4: Simplify right side
    362,171.32x = 110,150,125,959.40
  5. Step 5: Solve for x
    x = 110,150,125,959.40/362,171.32
  6. Step 6: Final answer
    x = 304,138.18

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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.