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Finding the Fourth Proportional to 533,414.57, 800,746.97 and 421,170.44

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Solution

The fourth proportional to 533,414.57, 800,746.97 and 421,170.44 is: 632,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,414.57 : 800,746.97 = 421,170.44 : x
  2. Step 2: Convert to fraction form
    533,414.57/800,746.97 = 421,170.44/x
  3. Step 3: Cross multiply
    533,414.57x = 800,746.97 × 421,170.44
  4. Step 4: Simplify right side
    533,414.57x = 337,250,947,573.98
  5. Step 5: Solve for x
    x = 337,250,947,573.98/533,414.57
  6. Step 6: Final answer
    x = 632,249.23

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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.