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Finding the Fourth Proportional to 321,415.96, 443,524.16 and 178,163.80

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Solution

The fourth proportional to 321,415.96, 443,524.16 and 178,163.80 is: 245,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,415.96 : 443,524.16 = 178,163.80 : x
  2. Step 2: Convert to fraction form
    321,415.96/443,524.16 = 178,163.80/x
  3. Step 3: Cross multiply
    321,415.96x = 443,524.16 × 178,163.80
  4. Step 4: Simplify right side
    321,415.96x = 79,019,949,737.41
  5. Step 5: Solve for x
    x = 79,019,949,737.41/321,415.96
  6. Step 6: Final answer
    x = 245,849.49

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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.