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Finding the Fourth Proportional to 394,386.96, 591,463.64 and 113,906.64

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Solution

The fourth proportional to 394,386.96, 591,463.64 and 113,906.64 is: 170,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,386.96 : 591,463.64 = 113,906.64 : x
  2. Step 2: Convert to fraction form
    394,386.96/591,463.64 = 113,906.64/x
  3. Step 3: Cross multiply
    394,386.96x = 591,463.64 × 113,906.64
  4. Step 4: Simplify right side
    394,386.96x = 67,371,635,914.57
  5. Step 5: Solve for x
    x = 67,371,635,914.57/394,386.96
  6. Step 6: Final answer
    x = 170,826.23

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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.