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Finding the Fourth Proportional to 359,635.44, 496,313.10 and 206,723.28

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Solution

The fourth proportional to 359,635.44, 496,313.10 and 206,723.28 is: 285,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,635.44 : 496,313.10 = 206,723.28 : x
  2. Step 2: Convert to fraction form
    359,635.44/496,313.10 = 206,723.28/x
  3. Step 3: Cross multiply
    359,635.44x = 496,313.10 × 206,723.28
  4. Step 4: Simplify right side
    359,635.44x = 102,599,471,938.97
  5. Step 5: Solve for x
    x = 102,599,471,938.97/359,635.44
  6. Step 6: Final answer
    x = 285,287.43

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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.