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Finding the Fourth Proportional to 296,753.78, 409,540.31 and 167,647.48

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Solution

The fourth proportional to 296,753.78, 409,540.31 and 167,647.48 is: 231,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.78 : 409,540.31 = 167,647.48 : x
  2. Step 2: Convert to fraction form
    296,753.78/409,540.31 = 167,647.48/x
  3. Step 3: Cross multiply
    296,753.78x = 409,540.31 × 167,647.48
  4. Step 4: Simplify right side
    296,753.78x = 68,658,398,043.98
  5. Step 5: Solve for x
    x = 68,658,398,043.98/296,753.78
  6. Step 6: Final answer
    x = 231,364.86

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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.