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Finding the Fourth Proportional to 359,634.44, 496,311.72 and 206,722.28

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Solution

The fourth proportional to 359,634.44, 496,311.72 and 206,722.28 is: 285,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,634.44 : 496,311.72 = 206,722.28 : x
  2. Step 2: Convert to fraction form
    359,634.44/496,311.72 = 206,722.28/x
  3. Step 3: Cross multiply
    359,634.44x = 496,311.72 × 206,722.28
  4. Step 4: Simplify right side
    359,634.44x = 102,598,690,349.12
  5. Step 5: Solve for x
    x = 102,598,690,349.12/359,634.44
  6. Step 6: Final answer
    x = 285,286.05

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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.