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Finding the Fourth Proportional to 321,469.56, 481,258.40 and 214,588.41

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Solution

The fourth proportional to 321,469.56, 481,258.40 and 214,588.41 is: 321,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,469.56 : 481,258.40 = 214,588.41 : x
  2. Step 2: Convert to fraction form
    321,469.56/481,258.40 = 214,588.41/x
  3. Step 3: Cross multiply
    321,469.56x = 481,258.40 × 214,588.41
  4. Step 4: Simplify right side
    321,469.56x = 103,272,474,855.14
  5. Step 5: Solve for x
    x = 103,272,474,855.14/321,469.56
  6. Step 6: Final answer
    x = 321,251.18

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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.