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Finding the Fourth Proportional to 419,067.52, 628,698.92 and 119,552.24

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Solution

The fourth proportional to 419,067.52, 628,698.92 and 119,552.24 is: 179,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,067.52 : 628,698.92 = 119,552.24 : x
  2. Step 2: Convert to fraction form
    419,067.52/628,698.92 = 119,552.24/x
  3. Step 3: Cross multiply
    419,067.52x = 628,698.92 × 119,552.24
  4. Step 4: Simplify right side
    419,067.52x = 75,162,364,171.58
  5. Step 5: Solve for x
    x = 75,162,364,171.58/419,067.52
  6. Step 6: Final answer
    x = 179,356.21

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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.