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Finding the Fourth Proportional to 396,740.70, 547,504.47 and 226,981.98

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Solution

The fourth proportional to 396,740.70, 547,504.47 and 226,981.98 is: 313,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,740.70 : 547,504.47 = 226,981.98 : x
  2. Step 2: Convert to fraction form
    396,740.70/547,504.47 = 226,981.98/x
  3. Step 3: Cross multiply
    396,740.70x = 547,504.47 × 226,981.98
  4. Step 4: Simplify right side
    396,740.70x = 124,273,648,659.45
  5. Step 5: Solve for x
    x = 124,273,648,659.45/396,740.70
  6. Step 6: Final answer
    x = 313,236.45

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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.