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Finding the Fourth Proportional to 419,928.56, 579,144.90 and 354,836.28

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Solution

The fourth proportional to 419,928.56, 579,144.90 and 354,836.28 is: 489,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,928.56 : 579,144.90 = 354,836.28 : x
  2. Step 2: Convert to fraction form
    419,928.56/579,144.90 = 354,836.28/x
  3. Step 3: Cross multiply
    419,928.56x = 579,144.90 × 354,836.28
  4. Step 4: Simplify right side
    419,928.56x = 205,501,621,896.97
  5. Step 5: Solve for x
    x = 205,501,621,896.97/419,928.56
  6. Step 6: Final answer
    x = 489,372.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.