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Finding the Fourth Proportional to 271,606.80, 408,024.60 and 188,662.80

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Solution

The fourth proportional to 271,606.80, 408,024.60 and 188,662.80 is: 283,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,606.80 : 408,024.60 = 188,662.80 : x
  2. Step 2: Convert to fraction form
    271,606.80/408,024.60 = 188,662.80/x
  3. Step 3: Cross multiply
    271,606.80x = 408,024.60 × 188,662.80
  4. Step 4: Simplify right side
    271,606.80x = 76,979,063,504.88
  5. Step 5: Solve for x
    x = 76,979,063,504.88/271,606.80
  6. Step 6: Final answer
    x = 283,420.97

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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.