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Finding the Fourth Proportional to 270,042.42, 404,683.32 and 206,616.99

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Solution

The fourth proportional to 270,042.42, 404,683.32 and 206,616.99 is: 309,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,042.42 : 404,683.32 = 206,616.99 : x
  2. Step 2: Convert to fraction form
    270,042.42/404,683.32 = 206,616.99/x
  3. Step 3: Cross multiply
    270,042.42x = 404,683.32 × 206,616.99
  4. Step 4: Simplify right side
    270,042.42x = 83,614,449,481.61
  5. Step 5: Solve for x
    x = 83,614,449,481.61/270,042.42
  6. Step 6: Final answer
    x = 309,634.50

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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.