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Finding the Fourth Proportional to 359,689.38, 496,383.42 and 196,355.58

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Solution

The fourth proportional to 359,689.38, 496,383.42 and 196,355.58 is: 270,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,689.38 : 496,383.42 = 196,355.58 : x
  2. Step 2: Convert to fraction form
    359,689.38/496,383.42 = 196,355.58/x
  3. Step 3: Cross multiply
    359,689.38x = 496,383.42 × 196,355.58
  4. Step 4: Simplify right side
    359,689.38x = 97,467,654,336.48
  5. Step 5: Solve for x
    x = 97,467,654,336.48/359,689.38
  6. Step 6: Final answer
    x = 270,977.29

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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.