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Finding the Fourth Proportional to 362,842.03, 500,698.31 and 201,691.11

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Solution

The fourth proportional to 362,842.03, 500,698.31 and 201,691.11 is: 278,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,842.03 : 500,698.31 = 201,691.11 : x
  2. Step 2: Convert to fraction form
    362,842.03/500,698.31 = 201,691.11/x
  3. Step 3: Cross multiply
    362,842.03x = 500,698.31 × 201,691.11
  4. Step 4: Simplify right side
    362,842.03x = 100,986,399,922.70
  5. Step 5: Solve for x
    x = 100,986,399,922.70/362,842.03
  6. Step 6: Final answer
    x = 278,320.57

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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.