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Finding the Fourth Proportional to 321,933.20, 482,878.20 and 85,270.80

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Solution

The fourth proportional to 321,933.20, 482,878.20 and 85,270.80 is: 127,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,933.20 : 482,878.20 = 85,270.80 : x
  2. Step 2: Convert to fraction form
    321,933.20/482,878.20 = 85,270.80/x
  3. Step 3: Cross multiply
    321,933.20x = 482,878.20 × 85,270.80
  4. Step 4: Simplify right side
    321,933.20x = 41,175,410,416.56
  5. Step 5: Solve for x
    x = 41,175,410,416.56/321,933.20
  6. Step 6: Final answer
    x = 127,900.48

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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.