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Finding the Fourth Proportional to 324,116.64, 486,010.26 and 189,226.26

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Solution

The fourth proportional to 324,116.64, 486,010.26 and 189,226.26 is: 283,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,116.64 : 486,010.26 = 189,226.26 : x
  2. Step 2: Convert to fraction form
    324,116.64/486,010.26 = 189,226.26/x
  3. Step 3: Cross multiply
    324,116.64x = 486,010.26 × 189,226.26
  4. Step 4: Simplify right side
    324,116.64x = 91,965,903,821.43
  5. Step 5: Solve for x
    x = 91,965,903,821.43/324,116.64
  6. Step 6: Final answer
    x = 283,743.23

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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.