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Finding the Fourth Proportional to 491,722.50, 737,710.50 and 267,025.26

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Solution

The fourth proportional to 491,722.50, 737,710.50 and 267,025.26 is: 400,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,722.50 : 737,710.50 = 267,025.26 : x
  2. Step 2: Convert to fraction form
    491,722.50/737,710.50 = 267,025.26/x
  3. Step 3: Cross multiply
    491,722.50x = 737,710.50 × 267,025.26
  4. Step 4: Simplify right side
    491,722.50x = 196,987,338,067.23
  5. Step 5: Solve for x
    x = 196,987,338,067.23/491,722.50
  6. Step 6: Final answer
    x = 400,606.72

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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.