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Finding the Fourth Proportional to 362,993.80, 500,910.84 and 201,845.39

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Solution

The fourth proportional to 362,993.80, 500,910.84 and 201,845.39 is: 278,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,993.80 : 500,910.84 = 201,845.39 : x
  2. Step 2: Convert to fraction form
    362,993.80/500,910.84 = 201,845.39/x
  3. Step 3: Cross multiply
    362,993.80x = 500,910.84 × 201,845.39
  4. Step 4: Simplify right side
    362,993.80x = 101,106,541,350.47
  5. Step 5: Solve for x
    x = 101,106,541,350.47/362,993.80
  6. Step 6: Final answer
    x = 278,535.17

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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.