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Finding the Fourth Proportional to 384,208.82, 576,398.92 and 117,996.20

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Solution

The fourth proportional to 384,208.82, 576,398.92 and 117,996.20 is: 177,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,208.82 : 576,398.92 = 117,996.20 : x
  2. Step 2: Convert to fraction form
    384,208.82/576,398.92 = 117,996.20/x
  3. Step 3: Cross multiply
    384,208.82x = 576,398.92 × 117,996.20
  4. Step 4: Simplify right side
    384,208.82x = 68,012,882,244.10
  5. Step 5: Solve for x
    x = 68,012,882,244.10/384,208.82
  6. Step 6: Final answer
    x = 177,020.62

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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.