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Finding the Fourth Proportional to 322,741.14, 483,605.73 and 204,162

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Solution

The fourth proportional to 322,741.14, 483,605.73 and 204,162 is: 305,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,741.14 : 483,605.73 = 204,162 : x
  2. Step 2: Convert to fraction form
    322,741.14/483,605.73 = 204,162/x
  3. Step 3: Cross multiply
    322,741.14x = 483,605.73 × 204,162
  4. Step 4: Simplify right side
    322,741.14x = 98,733,913,048.26
  5. Step 5: Solve for x
    x = 98,733,913,048.26/322,741.14
  6. Step 6: Final answer
    x = 305,922.92

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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.