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Finding the Fourth Proportional to 359,469.40, 496,069.50 and 198,324.44

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Solution

The fourth proportional to 359,469.40, 496,069.50 and 198,324.44 is: 273,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,469.40 : 496,069.50 = 198,324.44 : x
  2. Step 2: Convert to fraction form
    359,469.40/496,069.50 = 198,324.44/x
  3. Step 3: Cross multiply
    359,469.40x = 496,069.50 × 198,324.44
  4. Step 4: Simplify right side
    359,469.40x = 98,382,705,788.58
  5. Step 5: Solve for x
    x = 98,382,705,788.58/359,469.40
  6. Step 6: Final answer
    x = 273,688.68

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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.