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Finding the Fourth Proportional to 491,231.40, 736,847.10 and 267,282.60

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Solution

The fourth proportional to 491,231.40, 736,847.10 and 267,282.60 is: 400,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,231.40 : 736,847.10 = 267,282.60 : x
  2. Step 2: Convert to fraction form
    491,231.40/736,847.10 = 267,282.60/x
  3. Step 3: Cross multiply
    491,231.40x = 736,847.10 × 267,282.60
  4. Step 4: Simplify right side
    491,231.40x = 196,946,408,690.46
  5. Step 5: Solve for x
    x = 196,946,408,690.46/491,231.40
  6. Step 6: Final answer
    x = 400,923.90

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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.