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Finding the Fourth Proportional to 339,077.98, 467,896.70 and 201,233.12

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Solution

The fourth proportional to 339,077.98, 467,896.70 and 201,233.12 is: 277,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,077.98 : 467,896.70 = 201,233.12 : x
  2. Step 2: Convert to fraction form
    339,077.98/467,896.70 = 201,233.12/x
  3. Step 3: Cross multiply
    339,077.98x = 467,896.70 × 201,233.12
  4. Step 4: Simplify right side
    339,077.98x = 94,156,311,772.54
  5. Step 5: Solve for x
    x = 94,156,311,772.54/339,077.98
  6. Step 6: Final answer
    x = 277,683.36

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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.