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Finding the Fourth Proportional to 293,722.67, 405,357.32 and 166,399.31

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Solution

The fourth proportional to 293,722.67, 405,357.32 and 166,399.31 is: 229,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,722.67 : 405,357.32 = 166,399.31 : x
  2. Step 2: Convert to fraction form
    293,722.67/405,357.32 = 166,399.31/x
  3. Step 3: Cross multiply
    293,722.67x = 405,357.32 × 166,399.31
  4. Step 4: Simplify right side
    293,722.67x = 67,451,178,351.45
  5. Step 5: Solve for x
    x = 67,451,178,351.45/293,722.67
  6. Step 6: Final answer
    x = 229,642.40

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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.