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Finding the Fourth Proportional to 324,786.92, 487,180.40 and 114,375.56

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Solution

The fourth proportional to 324,786.92, 487,180.40 and 114,375.56 is: 171,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,786.92 : 487,180.40 = 114,375.56 : x
  2. Step 2: Convert to fraction form
    324,786.92/487,180.40 = 114,375.56/x
  3. Step 3: Cross multiply
    324,786.92x = 487,180.40 × 114,375.56
  4. Step 4: Simplify right side
    324,786.92x = 55,721,531,071.02
  5. Step 5: Solve for x
    x = 55,721,531,071.02/324,786.92
  6. Step 6: Final answer
    x = 171,563.35

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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.