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Finding the Fourth Proportional to 541,074.09, 746,616.60 and 311,705.64

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Solution

The fourth proportional to 541,074.09, 746,616.60 and 311,705.64 is: 430,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,074.09 : 746,616.60 = 311,705.64 : x
  2. Step 2: Convert to fraction form
    541,074.09/746,616.60 = 311,705.64/x
  3. Step 3: Cross multiply
    541,074.09x = 746,616.60 × 311,705.64
  4. Step 4: Simplify right side
    541,074.09x = 232,724,605,137.62
  5. Step 5: Solve for x
    x = 232,724,605,137.62/541,074.09
  6. Step 6: Final answer
    x = 430,115.97

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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.