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Finding the Fourth Proportional to 271,736, 407,600.56 and 191,442.24

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Solution

The fourth proportional to 271,736, 407,600.56 and 191,442.24 is: 287,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,736 : 407,600.56 = 191,442.24 : x
  2. Step 2: Convert to fraction form
    271,736/407,600.56 = 191,442.24/x
  3. Step 3: Cross multiply
    271,736x = 407,600.56 × 191,442.24
  4. Step 4: Simplify right side
    271,736x = 78,031,964,231.65
  5. Step 5: Solve for x
    x = 78,031,964,231.65/271,736
  6. Step 6: Final answer
    x = 287,160.94

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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.