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Finding the Fourth Proportional to 414,842.76, 622,393.26 and 148,605.56

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Solution

The fourth proportional to 414,842.76, 622,393.26 and 148,605.56 is: 222,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,842.76 : 622,393.26 = 148,605.56 : x
  2. Step 2: Convert to fraction form
    414,842.76/622,393.26 = 148,605.56/x
  3. Step 3: Cross multiply
    414,842.76x = 622,393.26 × 148,605.56
  4. Step 4: Simplify right side
    414,842.76x = 92,491,098,942.53
  5. Step 5: Solve for x
    x = 92,491,098,942.53/414,842.76
  6. Step 6: Final answer
    x = 222,954.59

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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.