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Finding the Fourth Proportional to 283,644.20, 424,883.10 and 194,997.80

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Solution

The fourth proportional to 283,644.20, 424,883.10 and 194,997.80 is: 292,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,644.20 : 424,883.10 = 194,997.80 : x
  2. Step 2: Convert to fraction form
    283,644.20/424,883.10 = 194,997.80/x
  3. Step 3: Cross multiply
    283,644.20x = 424,883.10 × 194,997.80
  4. Step 4: Simplify right side
    283,644.20x = 82,851,269,757.18
  5. Step 5: Solve for x
    x = 82,851,269,757.18/283,644.20
  6. Step 6: Final answer
    x = 292,095.77

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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.