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Finding the Fourth Proportional to 359,718, 496,410.84 and 200,742

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Solution

The fourth proportional to 359,718, 496,410.84 and 200,742 is: 277,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,718 : 496,410.84 = 200,742 : x
  2. Step 2: Convert to fraction form
    359,718/496,410.84 = 200,742/x
  3. Step 3: Cross multiply
    359,718x = 496,410.84 × 200,742
  4. Step 4: Simplify right side
    359,718x = 99,650,504,843.28
  5. Step 5: Solve for x
    x = 99,650,504,843.28/359,718
  6. Step 6: Final answer
    x = 277,023.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.