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Finding the Fourth Proportional to 359,944.47, 496,713.87 and 198,796.05

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Solution

The fourth proportional to 359,944.47, 496,713.87 and 198,796.05 is: 274,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,944.47 : 496,713.87 = 198,796.05 : x
  2. Step 2: Convert to fraction form
    359,944.47/496,713.87 = 198,796.05/x
  3. Step 3: Cross multiply
    359,944.47x = 496,713.87 × 198,796.05
  4. Step 4: Simplify right side
    359,944.47x = 98,744,755,336.21
  5. Step 5: Solve for x
    x = 98,744,755,336.21/359,944.47
  6. Step 6: Final answer
    x = 274,333.30

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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.