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Finding the Fourth Proportional to 321,416.08, 443,524.33 and 178,163.93

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Solution

The fourth proportional to 321,416.08, 443,524.33 and 178,163.93 is: 245,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.08 : 443,524.33 = 178,163.93 : x
  2. Step 2: Convert to fraction form
    321,416.08/443,524.33 = 178,163.93/x
  3. Step 3: Cross multiply
    321,416.08x = 443,524.33 × 178,163.93
  4. Step 4: Simplify right side
    321,416.08x = 79,020,037,683.42
  5. Step 5: Solve for x
    x = 79,020,037,683.42/321,416.08
  6. Step 6: Final answer
    x = 245,849.67

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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.