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Finding the Fourth Proportional to 359,652, 496,319.76 and 200,676

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Solution

The fourth proportional to 359,652, 496,319.76 and 200,676 is: 276,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,652 : 496,319.76 = 200,676 : x
  2. Step 2: Convert to fraction form
    359,652/496,319.76 = 200,676/x
  3. Step 3: Cross multiply
    359,652x = 496,319.76 × 200,676
  4. Step 4: Simplify right side
    359,652x = 99,599,464,157.76
  5. Step 5: Solve for x
    x = 99,599,464,157.76/359,652
  6. Step 6: Final answer
    x = 276,932.88

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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.