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Finding the Fourth Proportional to 299,296.82, 413,013.03 and 170,217.86

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Solution

The fourth proportional to 299,296.82, 413,013.03 and 170,217.86 is: 234,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,296.82 : 413,013.03 = 170,217.86 : x
  2. Step 2: Convert to fraction form
    299,296.82/413,013.03 = 170,217.86/x
  3. Step 3: Cross multiply
    299,296.82x = 413,013.03 × 170,217.86
  4. Step 4: Simplify right side
    299,296.82x = 70,302,191,415.33
  5. Step 5: Solve for x
    x = 70,302,191,415.33/299,296.82
  6. Step 6: Final answer
    x = 234,891.21

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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.