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Finding the Fourth Proportional to 359,489.52, 496,097.12 and 198,344.48

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Solution

The fourth proportional to 359,489.52, 496,097.12 and 198,344.48 is: 273,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,489.52 : 496,097.12 = 198,344.48 : x
  2. Step 2: Convert to fraction form
    359,489.52/496,097.12 = 198,344.48/x
  3. Step 3: Cross multiply
    359,489.52x = 496,097.12 × 198,344.48
  4. Step 4: Simplify right side
    359,489.52x = 98,398,123,311.27
  5. Step 5: Solve for x
    x = 98,398,123,311.27/359,489.52
  6. Step 6: Final answer
    x = 273,716.25

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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.