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Finding the Fourth Proportional to 321,469.37, 481,258.11 and 214,588.22

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Solution

The fourth proportional to 321,469.37, 481,258.11 and 214,588.22 is: 321,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,469.37 : 481,258.11 = 214,588.22 : x
  2. Step 2: Convert to fraction form
    321,469.37/481,258.11 = 214,588.22/x
  3. Step 3: Cross multiply
    321,469.37x = 481,258.11 × 214,588.22
  4. Step 4: Simplify right side
    321,469.37x = 103,272,321,083.90
  5. Step 5: Solve for x
    x = 103,272,321,083.90/321,469.37
  6. Step 6: Final answer
    x = 321,250.89

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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.