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Finding the Fourth Proportional to 359,933.92, 496,712.55 and 198,793.06

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Solution

The fourth proportional to 359,933.92, 496,712.55 and 198,793.06 is: 274,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,933.92 : 496,712.55 = 198,793.06 : x
  2. Step 2: Convert to fraction form
    359,933.92/496,712.55 = 198,793.06/x
  3. Step 3: Cross multiply
    359,933.92x = 496,712.55 × 198,793.06
  4. Step 4: Simplify right side
    359,933.92x = 98,743,007,754.90
  5. Step 5: Solve for x
    x = 98,743,007,754.90/359,933.92
  6. Step 6: Final answer
    x = 274,336.49

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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.