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Finding the Fourth Proportional to 362,893.31, 500,764.39 and 201,738.55

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Solution

The fourth proportional to 362,893.31, 500,764.39 and 201,738.55 is: 278,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,893.31 : 500,764.39 = 201,738.55 : x
  2. Step 2: Convert to fraction form
    362,893.31/500,764.39 = 201,738.55/x
  3. Step 3: Cross multiply
    362,893.31x = 500,764.39 × 201,738.55
  4. Step 4: Simplify right side
    362,893.31x = 101,023,481,930.24
  5. Step 5: Solve for x
    x = 101,023,481,930.24/362,893.31
  6. Step 6: Final answer
    x = 278,383.42

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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.