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Finding the Fourth Proportional to 482,696.80, 724,327.44 and 202,190.56

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Solution

The fourth proportional to 482,696.80, 724,327.44 and 202,190.56 is: 303,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,696.80 : 724,327.44 = 202,190.56 : x
  2. Step 2: Convert to fraction form
    482,696.80/724,327.44 = 202,190.56/x
  3. Step 3: Cross multiply
    482,696.80x = 724,327.44 × 202,190.56
  4. Step 4: Simplify right side
    482,696.80x = 146,452,170,716.97
  5. Step 5: Solve for x
    x = 146,452,170,716.97/482,696.80
  6. Step 6: Final answer
    x = 303,404.06

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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.