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Finding the Fourth Proportional to 406,414.33, 560,845.41 and 222,651.46

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Solution

The fourth proportional to 406,414.33, 560,845.41 and 222,651.46 is: 307,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,414.33 : 560,845.41 = 222,651.46 : x
  2. Step 2: Convert to fraction form
    406,414.33/560,845.41 = 222,651.46/x
  3. Step 3: Cross multiply
    406,414.33x = 560,845.41 × 222,651.46
  4. Step 4: Simplify right side
    406,414.33x = 124,873,046,708.36
  5. Step 5: Solve for x
    x = 124,873,046,708.36/406,414.33
  6. Step 6: Final answer
    x = 307,255.52

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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.