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Finding the Fourth Proportional to 456,073.42, 629,380.92 and 274,793

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Solution

The fourth proportional to 456,073.42, 629,380.92 and 274,793 is: 379,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,073.42 : 629,380.92 = 274,793 : x
  2. Step 2: Convert to fraction form
    456,073.42/629,380.92 = 274,793/x
  3. Step 3: Cross multiply
    456,073.42x = 629,380.92 × 274,793
  4. Step 4: Simplify right side
    456,073.42x = 172,949,471,149.56
  5. Step 5: Solve for x
    x = 172,949,471,149.56/456,073.42
  6. Step 6: Final answer
    x = 379,214.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.