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Finding the Fourth Proportional to 263,810.80, 396,007.80 and 164,083.60

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Solution

The fourth proportional to 263,810.80, 396,007.80 and 164,083.60 is: 246,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,810.80 : 396,007.80 = 164,083.60 : x
  2. Step 2: Convert to fraction form
    263,810.80/396,007.80 = 164,083.60/x
  3. Step 3: Cross multiply
    263,810.80x = 396,007.80 × 164,083.60
  4. Step 4: Simplify right side
    263,810.80x = 64,978,385,452.08
  5. Step 5: Solve for x
    x = 64,978,385,452.08/263,810.80
  6. Step 6: Final answer
    x = 246,306.77

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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.