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Finding the Fourth Proportional to 367,891.72, 507,735.66 and 206,753.56

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Solution

The fourth proportional to 367,891.72, 507,735.66 and 206,753.56 is: 285,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,891.72 : 507,735.66 = 206,753.56 : x
  2. Step 2: Convert to fraction form
    367,891.72/507,735.66 = 206,753.56/x
  3. Step 3: Cross multiply
    367,891.72x = 507,735.66 × 206,753.56
  4. Step 4: Simplify right side
    367,891.72x = 104,976,155,243.95
  5. Step 5: Solve for x
    x = 104,976,155,243.95/367,891.72
  6. Step 6: Final answer
    x = 285,345.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.