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Finding the Fourth Proportional to 271,657.15, 407,540.40 and 227,589.10

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Solution

The fourth proportional to 271,657.15, 407,540.40 and 227,589.10 is: 341,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,657.15 : 407,540.40 = 227,589.10 : x
  2. Step 2: Convert to fraction form
    271,657.15/407,540.40 = 227,589.10/x
  3. Step 3: Cross multiply
    271,657.15x = 407,540.40 × 227,589.10
  4. Step 4: Simplify right side
    271,657.15x = 92,751,752,849.64
  5. Step 5: Solve for x
    x = 92,751,752,849.64/271,657.15
  6. Step 6: Final answer
    x = 341,429.46

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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.