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Finding the Fourth Proportional to 414,729.81, 622,203.48 and 130,408.83

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Solution

The fourth proportional to 414,729.81, 622,203.48 and 130,408.83 is: 195,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729.81 : 622,203.48 = 130,408.83 : x
  2. Step 2: Convert to fraction form
    414,729.81/622,203.48 = 130,408.83/x
  3. Step 3: Cross multiply
    414,729.81x = 622,203.48 × 130,408.83
  4. Step 4: Simplify right side
    414,729.81x = 81,140,827,848.73
  5. Step 5: Solve for x
    x = 81,140,827,848.73/414,729.81
  6. Step 6: Final answer
    x = 195,647.45

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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.