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Finding the Fourth Proportional to 271,441.40, 407,162.10 and 185,967.96

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Solution

The fourth proportional to 271,441.40, 407,162.10 and 185,967.96 is: 278,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,441.40 : 407,162.10 = 185,967.96 : x
  2. Step 2: Convert to fraction form
    271,441.40/407,162.10 = 185,967.96/x
  3. Step 3: Cross multiply
    271,441.40x = 407,162.10 × 185,967.96
  4. Step 4: Simplify right side
    271,441.40x = 75,719,105,126.32
  5. Step 5: Solve for x
    x = 75,719,105,126.32/271,441.40
  6. Step 6: Final answer
    x = 278,951.94

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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.