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Finding the Fourth Proportional to 491,721, 737,708.25 and 267,023.76

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Solution

The fourth proportional to 491,721, 737,708.25 and 267,023.76 is: 400,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,721 : 737,708.25 = 267,023.76 : x
  2. Step 2: Convert to fraction form
    491,721/737,708.25 = 267,023.76/x
  3. Step 3: Cross multiply
    491,721x = 737,708.25 × 267,023.76
  4. Step 4: Simplify right side
    491,721x = 196,985,630,698.02
  5. Step 5: Solve for x
    x = 196,985,630,698.02/491,721
  6. Step 6: Final answer
    x = 400,604.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.