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Finding the Fourth Proportional to 394,006.80, 591,010.20 and 109,696.80

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Solution

The fourth proportional to 394,006.80, 591,010.20 and 109,696.80 is: 164,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,006.80 : 591,010.20 = 109,696.80 : x
  2. Step 2: Convert to fraction form
    394,006.80/591,010.20 = 109,696.80/x
  3. Step 3: Cross multiply
    394,006.80x = 591,010.20 × 109,696.80
  4. Step 4: Simplify right side
    394,006.80x = 64,831,927,707.36
  5. Step 5: Solve for x
    x = 64,831,927,707.36/394,006.80
  6. Step 6: Final answer
    x = 164,545.20

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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.