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Finding the Fourth Proportional to 362,171.82, 543,790.92 and 202,560.48

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Solution

The fourth proportional to 362,171.82, 543,790.92 and 202,560.48 is: 304,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,171.82 : 543,790.92 = 202,560.48 : x
  2. Step 2: Convert to fraction form
    362,171.82/543,790.92 = 202,560.48/x
  3. Step 3: Cross multiply
    362,171.82x = 543,790.92 × 202,560.48
  4. Step 4: Simplify right side
    362,171.82x = 110,150,549,774.84
  5. Step 5: Solve for x
    x = 110,150,549,774.84/362,171.82
  6. Step 6: Final answer
    x = 304,138.93

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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.