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Finding the Fourth Proportional to 539,183.92, 808,879.56 and 206,734

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Solution

The fourth proportional to 539,183.92, 808,879.56 and 206,734 is: 310,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,183.92 : 808,879.56 = 206,734 : x
  2. Step 2: Convert to fraction form
    539,183.92/808,879.56 = 206,734/x
  3. Step 3: Cross multiply
    539,183.92x = 808,879.56 × 206,734
  4. Step 4: Simplify right side
    539,183.92x = 167,222,906,957.04
  5. Step 5: Solve for x
    x = 167,222,906,957.04/539,183.92
  6. Step 6: Final answer
    x = 310,140.75

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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.