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Finding the Fourth Proportional to 498,216.72, 747,443.70 and 161,257.43

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Solution

The fourth proportional to 498,216.72, 747,443.70 and 161,257.43 is: 241,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,216.72 : 747,443.70 = 161,257.43 : x
  2. Step 2: Convert to fraction form
    498,216.72/747,443.70 = 161,257.43/x
  3. Step 3: Cross multiply
    498,216.72x = 747,443.70 × 161,257.43
  4. Step 4: Simplify right side
    498,216.72x = 120,530,846,999.19
  5. Step 5: Solve for x
    x = 120,530,846,999.19/498,216.72
  6. Step 6: Final answer
    x = 241,924.53

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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.