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Finding the Fourth Proportional to 361,067.49, 498,290.28 and 217,824.48

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Solution

The fourth proportional to 361,067.49, 498,290.28 and 217,824.48 is: 300,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,067.49 : 498,290.28 = 217,824.48 : x
  2. Step 2: Convert to fraction form
    361,067.49/498,290.28 = 217,824.48/x
  3. Step 3: Cross multiply
    361,067.49x = 498,290.28 × 217,824.48
  4. Step 4: Simplify right side
    361,067.49x = 108,539,821,130.05
  5. Step 5: Solve for x
    x = 108,539,821,130.05/361,067.49
  6. Step 6: Final answer
    x = 300,608.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.