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Finding the Fourth Proportional to 361,380.33, 498,697.47 and 200,234.88

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Solution

The fourth proportional to 361,380.33, 498,697.47 and 200,234.88 is: 276,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,380.33 : 498,697.47 = 200,234.88 : x
  2. Step 2: Convert to fraction form
    361,380.33/498,697.47 = 200,234.88/x
  3. Step 3: Cross multiply
    361,380.33x = 498,697.47 × 200,234.88
  4. Step 4: Simplify right side
    361,380.33x = 99,856,628,061.75
  5. Step 5: Solve for x
    x = 99,856,628,061.75/361,380.33
  6. Step 6: Final answer
    x = 276,320.04

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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.