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Finding the Fourth Proportional to 467,372.88, 700,778.84 and 214,336.40

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Solution

The fourth proportional to 467,372.88, 700,778.84 and 214,336.40 is: 321,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,372.88 : 700,778.84 = 214,336.40 : x
  2. Step 2: Convert to fraction form
    467,372.88/700,778.84 = 214,336.40/x
  3. Step 3: Cross multiply
    467,372.88x = 700,778.84 × 214,336.40
  4. Step 4: Simplify right side
    467,372.88x = 150,202,413,761.78
  5. Step 5: Solve for x
    x = 150,202,413,761.78/467,372.88
  6. Step 6: Final answer
    x = 321,375.97

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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.