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Finding the Fourth Proportional to 467,806.50, 701,603.92 and 214,843.80

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Solution

The fourth proportional to 467,806.50, 701,603.92 and 214,843.80 is: 322,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,806.50 : 701,603.92 = 214,843.80 : x
  2. Step 2: Convert to fraction form
    467,806.50/701,603.92 = 214,843.80/x
  3. Step 3: Cross multiply
    467,806.50x = 701,603.92 × 214,843.80
  4. Step 4: Simplify right side
    467,806.50x = 150,735,255,167.27
  5. Step 5: Solve for x
    x = 150,735,255,167.27/467,806.50
  6. Step 6: Final answer
    x = 322,217.10

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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.