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Finding the Fourth Proportional to 359,697.80, 496,381.24 and 198,551.44

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Solution

The fourth proportional to 359,697.80, 496,381.24 and 198,551.44 is: 274,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,697.80 : 496,381.24 = 198,551.44 : x
  2. Step 2: Convert to fraction form
    359,697.80/496,381.24 = 198,551.44/x
  3. Step 3: Cross multiply
    359,697.80x = 496,381.24 × 198,551.44
  4. Step 4: Simplify right side
    359,697.80x = 98,557,206,516.32
  5. Step 5: Solve for x
    x = 98,557,206,516.32/359,697.80
  6. Step 6: Final answer
    x = 274,000.03

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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.