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Finding the Fourth Proportional to 306,645.24, 459,935.50 and 82,028.35

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Solution

The fourth proportional to 306,645.24, 459,935.50 and 82,028.35 is: 123,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,645.24 : 459,935.50 = 82,028.35 : x
  2. Step 2: Convert to fraction form
    306,645.24/459,935.50 = 82,028.35/x
  3. Step 3: Cross multiply
    306,645.24x = 459,935.50 × 82,028.35
  4. Step 4: Simplify right side
    306,645.24x = 37,727,750,171.43
  5. Step 5: Solve for x
    x = 37,727,750,171.43/306,645.24
  6. Step 6: Final answer
    x = 123,033.87

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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.