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Finding the Fourth Proportional to 344,144.67, 474,951.72 and 208,212

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Solution

The fourth proportional to 344,144.67, 474,951.72 and 208,212 is: 287,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,144.67 : 474,951.72 = 208,212 : x
  2. Step 2: Convert to fraction form
    344,144.67/474,951.72 = 208,212/x
  3. Step 3: Cross multiply
    344,144.67x = 474,951.72 × 208,212
  4. Step 4: Simplify right side
    344,144.67x = 98,890,647,524.64
  5. Step 5: Solve for x
    x = 98,890,647,524.64/344,144.67
  6. Step 6: Final answer
    x = 287,351.97

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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.