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Finding the Fourth Proportional to 394,660.76, 592,021.91 and 141,974.10

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Solution

The fourth proportional to 394,660.76, 592,021.91 and 141,974.10 is: 212,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,660.76 : 592,021.91 = 141,974.10 : x
  2. Step 2: Convert to fraction form
    394,660.76/592,021.91 = 141,974.10/x
  3. Step 3: Cross multiply
    394,660.76x = 592,021.91 × 141,974.10
  4. Step 4: Simplify right side
    394,660.76x = 84,051,777,142.66
  5. Step 5: Solve for x
    x = 84,051,777,142.66/394,660.76
  6. Step 6: Final answer
    x = 212,972.22

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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.