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Finding the Fourth Proportional to 321,381.34, 443,527.59 and 178,147.42

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Solution

The fourth proportional to 321,381.34, 443,527.59 and 178,147.42 is: 245,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,381.34 : 443,527.59 = 178,147.42 : x
  2. Step 2: Convert to fraction form
    321,381.34/443,527.59 = 178,147.42/x
  3. Step 3: Cross multiply
    321,381.34x = 443,527.59 × 178,147.42
  4. Step 4: Simplify right side
    321,381.34x = 79,013,295,857.32
  5. Step 5: Solve for x
    x = 79,013,295,857.32/321,381.34
  6. Step 6: Final answer
    x = 245,855.27

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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.