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Finding the Fourth Proportional to 324,124.88, 447,296.38 and 188,164.55

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Solution

The fourth proportional to 324,124.88, 447,296.38 and 188,164.55 is: 259,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,124.88 : 447,296.38 = 188,164.55 : x
  2. Step 2: Convert to fraction form
    324,124.88/447,296.38 = 188,164.55/x
  3. Step 3: Cross multiply
    324,124.88x = 447,296.38 × 188,164.55
  4. Step 4: Simplify right side
    324,124.88x = 84,165,322,707.16
  5. Step 5: Solve for x
    x = 84,165,322,707.16/324,124.88
  6. Step 6: Final answer
    x = 259,669.43

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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.