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Finding the Fourth Proportional to 359,931.92, 496,709.80 and 198,791.06

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Solution

The fourth proportional to 359,931.92, 496,709.80 and 198,791.06 is: 274,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,931.92 : 496,709.80 = 198,791.06 : x
  2. Step 2: Convert to fraction form
    359,931.92/496,709.80 = 198,791.06/x
  3. Step 3: Cross multiply
    359,931.92x = 496,709.80 × 198,791.06
  4. Step 4: Simplify right side
    359,931.92x = 98,741,467,654.39
  5. Step 5: Solve for x
    x = 98,741,467,654.39/359,931.92
  6. Step 6: Final answer
    x = 274,333.73

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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.