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Finding the Fourth Proportional to 271,455.60, 407,315.88 and 192,004.05

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Solution

The fourth proportional to 271,455.60, 407,315.88 and 192,004.05 is: 288,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,455.60 : 407,315.88 = 192,004.05 : x
  2. Step 2: Convert to fraction form
    271,455.60/407,315.88 = 192,004.05/x
  3. Step 3: Cross multiply
    271,455.60x = 407,315.88 × 192,004.05
  4. Step 4: Simplify right side
    271,455.60x = 78,206,298,589.31
  5. Step 5: Solve for x
    x = 78,206,298,589.31/271,455.60
  6. Step 6: Final answer
    x = 288,099.78

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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.