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Finding the Fourth Proportional to 359,680.97, 496,359.77 and 198,536.06

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Solution

The fourth proportional to 359,680.97, 496,359.77 and 198,536.06 is: 273,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,680.97 : 496,359.77 = 198,536.06 : x
  2. Step 2: Convert to fraction form
    359,680.97/496,359.77 = 198,536.06/x
  3. Step 3: Cross multiply
    359,680.97x = 496,359.77 × 198,536.06
  4. Step 4: Simplify right side
    359,680.97x = 98,545,313,326.53
  5. Step 5: Solve for x
    x = 98,545,313,326.53/359,680.97
  6. Step 6: Final answer
    x = 273,979.78

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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.