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Finding the Fourth Proportional to 472,993.09, 709,067.66 and 173,403.72

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Solution

The fourth proportional to 472,993.09, 709,067.66 and 173,403.72 is: 259,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,993.09 : 709,067.66 = 173,403.72 : x
  2. Step 2: Convert to fraction form
    472,993.09/709,067.66 = 173,403.72/x
  3. Step 3: Cross multiply
    472,993.09x = 709,067.66 × 173,403.72
  4. Step 4: Simplify right side
    472,993.09x = 122,954,969,108.68
  5. Step 5: Solve for x
    x = 122,954,969,108.68/472,993.09
  6. Step 6: Final answer
    x = 259,950.88

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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.