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Finding the Fourth Proportional to 274,604.43, 411,163.25 and 194,312.37

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Solution

The fourth proportional to 274,604.43, 411,163.25 and 194,312.37 is: 290,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,604.43 : 411,163.25 = 194,312.37 : x
  2. Step 2: Convert to fraction form
    274,604.43/411,163.25 = 194,312.37/x
  3. Step 3: Cross multiply
    274,604.43x = 411,163.25 × 194,312.37
  4. Step 4: Simplify right side
    274,604.43x = 79,894,102,537.02
  5. Step 5: Solve for x
    x = 79,894,102,537.02/274,604.43
  6. Step 6: Final answer
    x = 290,942.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.