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Finding the Fourth Proportional to 491,704.47, 737,683.47 and 267,007.23

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Solution

The fourth proportional to 491,704.47, 737,683.47 and 267,007.23 is: 400,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,704.47 : 737,683.47 = 267,007.23 : x
  2. Step 2: Convert to fraction form
    491,704.47/737,683.47 = 267,007.23/x
  3. Step 3: Cross multiply
    491,704.47x = 737,683.47 × 267,007.23
  4. Step 4: Simplify right side
    491,704.47x = 196,966,819,941.49
  5. Step 5: Solve for x
    x = 196,966,819,941.49/491,704.47
  6. Step 6: Final answer
    x = 400,579.68

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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.