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Finding the Fourth Proportional to 472,346.97, 708,447.41 and 172,757.49

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Solution

The fourth proportional to 472,346.97, 708,447.41 and 172,757.49 is: 259,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,346.97 : 708,447.41 = 172,757.49 : x
  2. Step 2: Convert to fraction form
    472,346.97/708,447.41 = 172,757.49/x
  3. Step 3: Cross multiply
    472,346.97x = 708,447.41 × 172,757.49
  4. Step 4: Simplify right side
    472,346.97x = 122,389,591,942.58
  5. Step 5: Solve for x
    x = 122,389,591,942.58/472,346.97
  6. Step 6: Final answer
    x = 259,109.51

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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.