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Finding the Fourth Proportional to 324,615.52, 487,098.24 and 135,206.74

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Solution

The fourth proportional to 324,615.52, 487,098.24 and 135,206.74 is: 202,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,615.52 : 487,098.24 = 135,206.74 : x
  2. Step 2: Convert to fraction form
    324,615.52/487,098.24 = 135,206.74/x
  3. Step 3: Cross multiply
    324,615.52x = 487,098.24 × 135,206.74
  4. Step 4: Simplify right side
    324,615.52x = 65,858,965,090.14
  5. Step 5: Solve for x
    x = 65,858,965,090.14/324,615.52
  6. Step 6: Final answer
    x = 202,882.98

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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.