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Finding the Fourth Proportional to 322,429.13, 482,906.05 and 154,067.80

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Solution

The fourth proportional to 322,429.13, 482,906.05 and 154,067.80 is: 230,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,429.13 : 482,906.05 = 154,067.80 : x
  2. Step 2: Convert to fraction form
    322,429.13/482,906.05 = 154,067.80/x
  3. Step 3: Cross multiply
    322,429.13x = 482,906.05 × 154,067.80
  4. Step 4: Simplify right side
    322,429.13x = 74,400,272,730.19
  5. Step 5: Solve for x
    x = 74,400,272,730.19/322,429.13
  6. Step 6: Final answer
    x = 230,749.23

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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.