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Finding the Fourth Proportional to 321,672.33, 481,745.75 and 254,897.73

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Solution

The fourth proportional to 321,672.33, 481,745.75 and 254,897.73 is: 381,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,672.33 : 481,745.75 = 254,897.73 : x
  2. Step 2: Convert to fraction form
    321,672.33/481,745.75 = 254,897.73/x
  3. Step 3: Cross multiply
    321,672.33x = 481,745.75 × 254,897.73
  4. Step 4: Simplify right side
    321,672.33x = 122,795,896,837.66
  5. Step 5: Solve for x
    x = 122,795,896,837.66/321,672.33
  6. Step 6: Final answer
    x = 381,742.18

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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.