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Finding the Fourth Proportional to 299,335.84, 413,093.16 and 170,270.92

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Solution

The fourth proportional to 299,335.84, 413,093.16 and 170,270.92 is: 234,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335.84 : 413,093.16 = 170,270.92 : x
  2. Step 2: Convert to fraction form
    299,335.84/413,093.16 = 170,270.92/x
  3. Step 3: Cross multiply
    299,335.84x = 413,093.16 × 170,270.92
  4. Step 4: Simplify right side
    299,335.84x = 70,337,752,398.91
  5. Step 5: Solve for x
    x = 70,337,752,398.91/299,335.84
  6. Step 6: Final answer
    x = 234,979.39

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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.