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Finding the Fourth Proportional to 339,911.66, 469,041.30 and 196,644.94

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Solution

The fourth proportional to 339,911.66, 469,041.30 and 196,644.94 is: 271,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,911.66 : 469,041.30 = 196,644.94 : x
  2. Step 2: Convert to fraction form
    339,911.66/469,041.30 = 196,644.94/x
  3. Step 3: Cross multiply
    339,911.66x = 469,041.30 × 196,644.94
  4. Step 4: Simplify right side
    339,911.66x = 92,234,597,123.42
  5. Step 5: Solve for x
    x = 92,234,597,123.42/339,911.66
  6. Step 6: Final answer
    x = 271,348.73

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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.