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Finding the Fourth Proportional to 647,194.52, 971,229.20 and 226,474.04

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Solution

The fourth proportional to 647,194.52, 971,229.20 and 226,474.04 is: 339,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,194.52 : 971,229.20 = 226,474.04 : x
  2. Step 2: Convert to fraction form
    647,194.52/971,229.20 = 226,474.04/x
  3. Step 3: Cross multiply
    647,194.52x = 971,229.20 × 226,474.04
  4. Step 4: Simplify right side
    647,194.52x = 219,958,200,689.97
  5. Step 5: Solve for x
    x = 219,958,200,689.97/647,194.52
  6. Step 6: Final answer
    x = 339,864.13

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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.