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Finding the Fourth Proportional to 271,674.89, 407,581.12 and 191,868.75

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Solution

The fourth proportional to 271,674.89, 407,581.12 and 191,868.75 is: 287,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674.89 : 407,581.12 = 191,868.75 : x
  2. Step 2: Convert to fraction form
    271,674.89/407,581.12 = 191,868.75/x
  3. Step 3: Cross multiply
    271,674.89x = 407,581.12 × 191,868.75
  4. Step 4: Simplify right side
    271,674.89x = 78,202,080,257.84
  5. Step 5: Solve for x
    x = 78,202,080,257.84/271,674.89
  6. Step 6: Final answer
    x = 287,851.71

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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.