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Finding the Fourth Proportional to 493,843.28, 681,503.76 and 267,488.84

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Solution

The fourth proportional to 493,843.28, 681,503.76 and 267,488.84 is: 369,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,843.28 : 681,503.76 = 267,488.84 : x
  2. Step 2: Convert to fraction form
    493,843.28/681,503.76 = 267,488.84/x
  3. Step 3: Cross multiply
    493,843.28x = 681,503.76 × 267,488.84
  4. Step 4: Simplify right side
    493,843.28x = 182,294,650,218.04
  5. Step 5: Solve for x
    x = 182,294,650,218.04/493,843.28
  6. Step 6: Final answer
    x = 369,134.62

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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.