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Finding the Fourth Proportional to 322,861.44, 445,768.32 and 202,051.68

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Solution

The fourth proportional to 322,861.44, 445,768.32 and 202,051.68 is: 278,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,861.44 : 445,768.32 = 202,051.68 : x
  2. Step 2: Convert to fraction form
    322,861.44/445,768.32 = 202,051.68/x
  3. Step 3: Cross multiply
    322,861.44x = 445,768.32 × 202,051.68
  4. Step 4: Simplify right side
    322,861.44x = 90,068,237,946.78
  5. Step 5: Solve for x
    x = 90,068,237,946.78/322,861.44
  6. Step 6: Final answer
    x = 278,968.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.