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Finding the Fourth Proportional to 379,051.44, 523,046.16 and 226,098

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Solution

The fourth proportional to 379,051.44, 523,046.16 and 226,098 is: 311,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,051.44 : 523,046.16 = 226,098 : x
  2. Step 2: Convert to fraction form
    379,051.44/523,046.16 = 226,098/x
  3. Step 3: Cross multiply
    379,051.44x = 523,046.16 × 226,098
  4. Step 4: Simplify right side
    379,051.44x = 118,259,690,683.68
  5. Step 5: Solve for x
    x = 118,259,690,683.68/379,051.44
  6. Step 6: Final answer
    x = 311,988.50

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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.