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Finding the Fourth Proportional to 406,425.20, 560,842.78 and 222,627.22

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Solution

The fourth proportional to 406,425.20, 560,842.78 and 222,627.22 is: 307,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,425.20 : 560,842.78 = 222,627.22 : x
  2. Step 2: Convert to fraction form
    406,425.20/560,842.78 = 222,627.22/x
  3. Step 3: Cross multiply
    406,425.20x = 560,842.78 × 222,627.22
  4. Step 4: Simplify right side
    406,425.20x = 124,858,866,164.26
  5. Step 5: Solve for x
    x = 124,858,866,164.26/406,425.20
  6. Step 6: Final answer
    x = 307,212.41

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