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Finding the Fourth Proportional to 321,578.83, 443,806.06 and 178,385

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Solution

The fourth proportional to 321,578.83, 443,806.06 and 178,385 is: 246,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,578.83 : 443,806.06 = 178,385 : x
  2. Step 2: Convert to fraction form
    321,578.83/443,806.06 = 178,385/x
  3. Step 3: Cross multiply
    321,578.83x = 443,806.06 × 178,385
  4. Step 4: Simplify right side
    321,578.83x = 79,168,344,013.10
  5. Step 5: Solve for x
    x = 79,168,344,013.10/321,578.83
  6. Step 6: Final answer
    x = 246,186.43

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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.