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Finding the Fourth Proportional to 491,713.47, 737,696.97 and 267,016.23

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Solution

The fourth proportional to 491,713.47, 737,696.97 and 267,016.23 is: 400,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,713.47 : 737,696.97 = 267,016.23 : x
  2. Step 2: Convert to fraction form
    491,713.47/737,696.97 = 267,016.23/x
  3. Step 3: Cross multiply
    491,713.47x = 737,696.97 × 267,016.23
  4. Step 4: Simplify right side
    491,713.47x = 196,977,063,811.82
  5. Step 5: Solve for x
    x = 196,977,063,811.82/491,713.47
  6. Step 6: Final answer
    x = 400,593.18

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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.