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Finding the Fourth Proportional to 323,067.24, 484,573.10 and 196,674.68

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Solution

The fourth proportional to 323,067.24, 484,573.10 and 196,674.68 is: 294,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,067.24 : 484,573.10 = 196,674.68 : x
  2. Step 2: Convert to fraction form
    323,067.24/484,573.10 = 196,674.68/x
  3. Step 3: Cross multiply
    323,067.24x = 484,573.10 × 196,674.68
  4. Step 4: Simplify right side
    323,067.24x = 95,303,259,379.11
  5. Step 5: Solve for x
    x = 95,303,259,379.11/323,067.24
  6. Step 6: Final answer
    x = 294,995.12

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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.