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Finding the Fourth Proportional to 414,766.40, 622,200.96 and 148,555.52

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Solution

The fourth proportional to 414,766.40, 622,200.96 and 148,555.52 is: 222,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,766.40 : 622,200.96 = 148,555.52 : x
  2. Step 2: Convert to fraction form
    414,766.40/622,200.96 = 148,555.52/x
  3. Step 3: Cross multiply
    414,766.40x = 622,200.96 × 148,555.52
  4. Step 4: Simplify right side
    414,766.40x = 92,431,387,157.30
  5. Step 5: Solve for x
    x = 92,431,387,157.30/414,766.40
  6. Step 6: Final answer
    x = 222,851.68

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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.