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Finding the Fourth Proportional to 361,487.99, 498,839.84 and 200,345.78

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Solution

The fourth proportional to 361,487.99, 498,839.84 and 200,345.78 is: 276,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,487.99 : 498,839.84 = 200,345.78 : x
  2. Step 2: Convert to fraction form
    361,487.99/498,839.84 = 200,345.78/x
  3. Step 3: Cross multiply
    361,487.99x = 498,839.84 × 200,345.78
  4. Step 4: Simplify right side
    361,487.99x = 99,940,456,839.88
  5. Step 5: Solve for x
    x = 99,940,456,839.88/361,487.99
  6. Step 6: Final answer
    x = 276,469.65

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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.