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Finding the Fourth Proportional to 416,640.48, 574,533.84 and 356,410.44

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Solution

The fourth proportional to 416,640.48, 574,533.84 and 356,410.44 is: 491,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,640.48 : 574,533.84 = 356,410.44 : x
  2. Step 2: Convert to fraction form
    416,640.48/574,533.84 = 356,410.44/x
  3. Step 3: Cross multiply
    416,640.48x = 574,533.84 × 356,410.44
  4. Step 4: Simplify right side
    416,640.48x = 204,769,858,709.29
  5. Step 5: Solve for x
    x = 204,769,858,709.29/416,640.48
  6. Step 6: Final answer
    x = 491,478.55

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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.