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Finding the Fourth Proportional to 270,732.20, 405,752.70 and 208,092.20

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Solution

The fourth proportional to 270,732.20, 405,752.70 and 208,092.20 is: 311,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,732.20 : 405,752.70 = 208,092.20 : x
  2. Step 2: Convert to fraction form
    270,732.20/405,752.70 = 208,092.20/x
  3. Step 3: Cross multiply
    270,732.20x = 405,752.70 × 208,092.20
  4. Step 4: Simplify right side
    270,732.20x = 84,433,971,998.94
  5. Step 5: Solve for x
    x = 84,433,971,998.94/270,732.20
  6. Step 6: Final answer
    x = 311,872.66

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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.