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Finding the Fourth Proportional to 476,523.87, 714,627.22 and 192,140.97

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Solution

The fourth proportional to 476,523.87, 714,627.22 and 192,140.97 is: 288,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,523.87 : 714,627.22 = 192,140.97 : x
  2. Step 2: Convert to fraction form
    476,523.87/714,627.22 = 192,140.97/x
  3. Step 3: Cross multiply
    476,523.87x = 714,627.22 × 192,140.97
  4. Step 4: Simplify right side
    476,523.87x = 137,309,167,239.20
  5. Step 5: Solve for x
    x = 137,309,167,239.20/476,523.87
  6. Step 6: Final answer
    x = 288,147.51

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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.