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Finding the Fourth Proportional to 827,671.64, 1,240,878.22 and 428,057.73

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Solution

The fourth proportional to 827,671.64, 1,240,878.22 and 428,057.73 is: 641,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,671.64 : 1,240,878.22 = 428,057.73 : x
  2. Step 2: Convert to fraction form
    827,671.64/1,240,878.22 = 428,057.73/x
  3. Step 3: Cross multiply
    827,671.64x = 1,240,878.22 × 428,057.73
  4. Step 4: Simplify right side
    827,671.64x = 531,167,512,989.50
  5. Step 5: Solve for x
    x = 531,167,512,989.50/827,671.64
  6. Step 6: Final answer
    x = 641,761.17

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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.