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Finding the Fourth Proportional to 263,270.80, 395,035.80 and 200,069.20

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Solution

The fourth proportional to 263,270.80, 395,035.80 and 200,069.20 is: 300,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,270.80 : 395,035.80 = 200,069.20 : x
  2. Step 2: Convert to fraction form
    263,270.80/395,035.80 = 200,069.20/x
  3. Step 3: Cross multiply
    263,270.80x = 395,035.80 × 200,069.20
  4. Step 4: Simplify right side
    263,270.80x = 79,034,496,477.36
  5. Step 5: Solve for x
    x = 79,034,496,477.36/263,270.80
  6. Step 6: Final answer
    x = 300,202.29

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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.