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Finding the Fourth Proportional to 271,594.59, 407,344.91 and 71,917.85

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Solution

The fourth proportional to 271,594.59, 407,344.91 and 71,917.85 is: 107,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,594.59 : 407,344.91 = 71,917.85 : x
  2. Step 2: Convert to fraction form
    271,594.59/407,344.91 = 71,917.85/x
  3. Step 3: Cross multiply
    271,594.59x = 407,344.91 × 71,917.85
  4. Step 4: Simplify right side
    271,594.59x = 29,295,367,739.33
  5. Step 5: Solve for x
    x = 29,295,367,739.33/271,594.59
  6. Step 6: Final answer
    x = 107,864.33

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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.