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Finding the Fourth Proportional to 270,982.20, 405,695.70 and 263,206.20

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Solution

The fourth proportional to 270,982.20, 405,695.70 and 263,206.20 is: 394,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,982.20 : 405,695.70 = 263,206.20 : x
  2. Step 2: Convert to fraction form
    270,982.20/405,695.70 = 263,206.20/x
  3. Step 3: Cross multiply
    270,982.20x = 405,695.70 × 263,206.20
  4. Step 4: Simplify right side
    270,982.20x = 106,781,623,553.34
  5. Step 5: Solve for x
    x = 106,781,623,553.34/270,982.20
  6. Step 6: Final answer
    x = 394,054.01

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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.