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Finding the Fourth Proportional to 311,560.96, 467,297.52 and 101,201.44

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Solution

The fourth proportional to 311,560.96, 467,297.52 and 101,201.44 is: 151,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,560.96 : 467,297.52 = 101,201.44 : x
  2. Step 2: Convert to fraction form
    311,560.96/467,297.52 = 101,201.44/x
  3. Step 3: Cross multiply
    311,560.96x = 467,297.52 × 101,201.44
  4. Step 4: Simplify right side
    311,560.96x = 47,291,181,932.43
  5. Step 5: Solve for x
    x = 47,291,181,932.43/311,560.96
  6. Step 6: Final answer
    x = 151,787.89

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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.