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Finding the Fourth Proportional to 321,647.24, 443,851.44 and 178,401.80

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Solution

The fourth proportional to 321,647.24, 443,851.44 and 178,401.80 is: 246,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,647.24 : 443,851.44 = 178,401.80 : x
  2. Step 2: Convert to fraction form
    321,647.24/443,851.44 = 178,401.80/x
  3. Step 3: Cross multiply
    321,647.24x = 443,851.44 × 178,401.80
  4. Step 4: Simplify right side
    321,647.24x = 79,183,895,828.59
  5. Step 5: Solve for x
    x = 79,183,895,828.59/321,647.24
  6. Step 6: Final answer
    x = 246,182.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.