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Finding the Fourth Proportional to 335,711.32, 463,290.23 and 206,601.77

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Solution

The fourth proportional to 335,711.32, 463,290.23 and 206,601.77 is: 285,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,711.32 : 463,290.23 = 206,601.77 : x
  2. Step 2: Convert to fraction form
    335,711.32/463,290.23 = 206,601.77/x
  3. Step 3: Cross multiply
    335,711.32x = 463,290.23 × 206,601.77
  4. Step 4: Simplify right side
    335,711.32x = 95,716,583,216.44
  5. Step 5: Solve for x
    x = 95,716,583,216.44/335,711.32
  6. Step 6: Final answer
    x = 285,115.75

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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.