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Finding the Fourth Proportional to 512,998.80, 769,498.20 and 345,037.20

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Solution

The fourth proportional to 512,998.80, 769,498.20 and 345,037.20 is: 517,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,998.80 : 769,498.20 = 345,037.20 : x
  2. Step 2: Convert to fraction form
    512,998.80/769,498.20 = 345,037.20/x
  3. Step 3: Cross multiply
    512,998.80x = 769,498.20 × 345,037.20
  4. Step 4: Simplify right side
    512,998.80x = 265,505,504,333.04
  5. Step 5: Solve for x
    x = 265,505,504,333.04/512,998.80
  6. Step 6: Final answer
    x = 517,555.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.