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Finding the Fourth Proportional to 394,124.36, 591,176.46 and 109,813.64

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Solution

The fourth proportional to 394,124.36, 591,176.46 and 109,813.64 is: 164,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,124.36 : 591,176.46 = 109,813.64 : x
  2. Step 2: Convert to fraction form
    394,124.36/591,176.46 = 109,813.64/x
  3. Step 3: Cross multiply
    394,124.36x = 591,176.46 × 109,813.64
  4. Step 4: Simplify right side
    394,124.36x = 64,919,238,954.91
  5. Step 5: Solve for x
    x = 64,919,238,954.91/394,124.36
  6. Step 6: Final answer
    x = 164,717.65

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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.