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Finding the Fourth Proportional to 329,662.80, 494,494.20 and 217,469.70

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Solution

The fourth proportional to 329,662.80, 494,494.20 and 217,469.70 is: 326,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,662.80 : 494,494.20 = 217,469.70 : x
  2. Step 2: Convert to fraction form
    329,662.80/494,494.20 = 217,469.70/x
  3. Step 3: Cross multiply
    329,662.80x = 494,494.20 × 217,469.70
  4. Step 4: Simplify right side
    329,662.80x = 107,537,505,325.74
  5. Step 5: Solve for x
    x = 107,537,505,325.74/329,662.80
  6. Step 6: Final answer
    x = 326,204.55

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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.