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Finding the Fourth Proportional to 362,357.88, 543,011.82 and 204,249.84

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Solution

The fourth proportional to 362,357.88, 543,011.82 and 204,249.84 is: 306,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,357.88 : 543,011.82 = 204,249.84 : x
  2. Step 2: Convert to fraction form
    362,357.88/543,011.82 = 204,249.84/x
  3. Step 3: Cross multiply
    362,357.88x = 543,011.82 × 204,249.84
  4. Step 4: Simplify right side
    362,357.88x = 110,910,077,353.11
  5. Step 5: Solve for x
    x = 110,910,077,353.11/362,357.88
  6. Step 6: Final answer
    x = 306,078.83

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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.