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Finding the Fourth Proportional to 361,069, 498,234.97 and 199,883.68

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Solution

The fourth proportional to 361,069, 498,234.97 and 199,883.68 is: 275,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,069 : 498,234.97 = 199,883.68 : x
  2. Step 2: Convert to fraction form
    361,069/498,234.97 = 199,883.68/x
  3. Step 3: Cross multiply
    361,069x = 498,234.97 × 199,883.68
  4. Step 4: Simplify right side
    361,069x = 99,589,039,308.29
  5. Step 5: Solve for x
    x = 99,589,039,308.29/361,069
  6. Step 6: Final answer
    x = 275,817.20

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1.5x scale

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.