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Finding the Fourth Proportional to 362,813.97, 500,723.94 and 201,684.33

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Solution

The fourth proportional to 362,813.97, 500,723.94 and 201,684.33 is: 278,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,813.97 : 500,723.94 = 201,684.33 : x
  2. Step 2: Convert to fraction form
    362,813.97/500,723.94 = 201,684.33/x
  3. Step 3: Cross multiply
    362,813.97x = 500,723.94 × 201,684.33
  4. Step 4: Simplify right side
    362,813.97x = 100,988,172,353.86
  5. Step 5: Solve for x
    x = 100,988,172,353.86/362,813.97
  6. Step 6: Final answer
    x = 278,346.98

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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.