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Finding the Fourth Proportional to 362,843.54, 500,700.38 and 201,692.61

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Solution

The fourth proportional to 362,843.54, 500,700.38 and 201,692.61 is: 278,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,843.54 : 500,700.38 = 201,692.61 : x
  2. Step 2: Convert to fraction form
    362,843.54/500,700.38 = 201,692.61/x
  3. Step 3: Cross multiply
    362,843.54x = 500,700.38 × 201,692.61
  4. Step 4: Simplify right side
    362,843.54x = 100,987,565,461.73
  5. Step 5: Solve for x
    x = 100,987,565,461.73/362,843.54
  6. Step 6: Final answer
    x = 278,322.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.