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Finding the Fourth Proportional to 321,314.72, 443,414.32 and 178,096.32

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Solution

The fourth proportional to 321,314.72, 443,414.32 and 178,096.32 is: 245,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,314.72 : 443,414.32 = 178,096.32 : x
  2. Step 2: Convert to fraction form
    321,314.72/443,414.32 = 178,096.32/x
  3. Step 3: Cross multiply
    321,314.72x = 443,414.32 × 178,096.32
  4. Step 4: Simplify right side
    321,314.72x = 78,970,458,627.30
  5. Step 5: Solve for x
    x = 78,970,458,627.30/321,314.72
  6. Step 6: Final answer
    x = 245,772.93

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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.