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Finding the Fourth Proportional to 414,729.67, 622,203.14 and 130,408.73

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Solution

The fourth proportional to 414,729.67, 622,203.14 and 130,408.73 is: 195,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729.67 : 622,203.14 = 130,408.73 : x
  2. Step 2: Convert to fraction form
    414,729.67/622,203.14 = 130,408.73/x
  3. Step 3: Cross multiply
    414,729.67x = 622,203.14 × 130,408.73
  4. Step 4: Simplify right side
    414,729.67x = 81,140,721,289.41
  5. Step 5: Solve for x
    x = 81,140,721,289.41/414,729.67
  6. Step 6: Final answer
    x = 195,647.25

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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.