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Finding the Fourth Proportional to 419,037.92, 628,204.80 and 339,956

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Solution

The fourth proportional to 419,037.92, 628,204.80 and 339,956 is: 509,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,037.92 : 628,204.80 = 339,956 : x
  2. Step 2: Convert to fraction form
    419,037.92/628,204.80 = 339,956/x
  3. Step 3: Cross multiply
    419,037.92x = 628,204.80 × 339,956
  4. Step 4: Simplify right side
    419,037.92x = 213,561,990,988.80
  5. Step 5: Solve for x
    x = 213,561,990,988.80/419,037.92
  6. Step 6: Final answer
    x = 509,648.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.