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Finding the Fourth Proportional to 361,334.82, 498,601.74 and 200,149.92

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Solution

The fourth proportional to 361,334.82, 498,601.74 and 200,149.92 is: 276,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,334.82 : 498,601.74 = 200,149.92 : x
  2. Step 2: Convert to fraction form
    361,334.82/498,601.74 = 200,149.92/x
  3. Step 3: Cross multiply
    361,334.82x = 498,601.74 × 200,149.92
  4. Step 4: Simplify right side
    361,334.82x = 99,795,098,372.86
  5. Step 5: Solve for x
    x = 99,795,098,372.86/361,334.82
  6. Step 6: Final answer
    x = 276,184.56

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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.