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Finding the Fourth Proportional to 482,189.76, 722,584.80 and 271,377.54

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Solution

The fourth proportional to 482,189.76, 722,584.80 and 271,377.54 is: 406,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,189.76 : 722,584.80 = 271,377.54 : x
  2. Step 2: Convert to fraction form
    482,189.76/722,584.80 = 271,377.54/x
  3. Step 3: Cross multiply
    482,189.76x = 722,584.80 × 271,377.54
  4. Step 4: Simplify right side
    482,189.76x = 196,093,285,465.39
  5. Step 5: Solve for x
    x = 196,093,285,465.39/482,189.76
  6. Step 6: Final answer
    x = 406,672.44

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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.