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Finding the Fourth Proportional to 366,470.96, 505,744.43 and 205,327.33

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Solution

The fourth proportional to 366,470.96, 505,744.43 and 205,327.33 is: 283,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,470.96 : 505,744.43 = 205,327.33 : x
  2. Step 2: Convert to fraction form
    366,470.96/505,744.43 = 205,327.33/x
  3. Step 3: Cross multiply
    366,470.96x = 505,744.43 × 205,327.33
  4. Step 4: Simplify right side
    366,470.96x = 103,843,151,183.27
  5. Step 5: Solve for x
    x = 103,843,151,183.27/366,470.96
  6. Step 6: Final answer
    x = 283,359.84

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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.