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Finding the Fourth Proportional to 471,704.05, 707,846.16 and 187,344.85

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Solution

The fourth proportional to 471,704.05, 707,846.16 and 187,344.85 is: 281,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,704.05 : 707,846.16 = 187,344.85 : x
  2. Step 2: Convert to fraction form
    471,704.05/707,846.16 = 187,344.85/x
  3. Step 3: Cross multiply
    471,704.05x = 707,846.16 × 187,344.85
  4. Step 4: Simplify right side
    471,704.05x = 132,611,332,668.28
  5. Step 5: Solve for x
    x = 132,611,332,668.28/471,704.05
  6. Step 6: Final answer
    x = 281,132.49

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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.