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Finding the Fourth Proportional to 359,939.64, 496,707.20 and 198,791.24

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Solution

The fourth proportional to 359,939.64, 496,707.20 and 198,791.24 is: 274,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,939.64 : 496,707.20 = 198,791.24 : x
  2. Step 2: Convert to fraction form
    359,939.64/496,707.20 = 198,791.24/x
  3. Step 3: Cross multiply
    359,939.64x = 496,707.20 × 198,791.24
  4. Step 4: Simplify right side
    359,939.64x = 98,741,040,204.93
  5. Step 5: Solve for x
    x = 98,741,040,204.93/359,939.64
  6. Step 6: Final answer
    x = 274,326.66

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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.