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Finding the Fourth Proportional to 331,215.40, 496,823.10 and 165,327.40

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Solution

The fourth proportional to 331,215.40, 496,823.10 and 165,327.40 is: 247,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,215.40 : 496,823.10 = 165,327.40 : x
  2. Step 2: Convert to fraction form
    331,215.40/496,823.10 = 165,327.40/x
  3. Step 3: Cross multiply
    331,215.40x = 496,823.10 × 165,327.40
  4. Step 4: Simplify right side
    331,215.40x = 82,138,471,382.94
  5. Step 5: Solve for x
    x = 82,138,471,382.94/331,215.40
  6. Step 6: Final answer
    x = 247,991.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.