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Finding the Fourth Proportional to 321,893.80, 482,648.70 and 197,324.20

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Solution

The fourth proportional to 321,893.80, 482,648.70 and 197,324.20 is: 295,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,893.80 : 482,648.70 = 197,324.20 : x
  2. Step 2: Convert to fraction form
    321,893.80/482,648.70 = 197,324.20/x
  3. Step 3: Cross multiply
    321,893.80x = 482,648.70 × 197,324.20
  4. Step 4: Simplify right side
    321,893.80x = 95,238,268,608.54
  5. Step 5: Solve for x
    x = 95,238,268,608.54/321,893.80
  6. Step 6: Final answer
    x = 295,868.60

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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.