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Finding the Fourth Proportional to 306,645.31, 459,935.59 and 82,028.41

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Solution

The fourth proportional to 306,645.31, 459,935.59 and 82,028.41 is: 123,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,645.31 : 459,935.59 = 82,028.41 : x
  2. Step 2: Convert to fraction form
    306,645.31/459,935.59 = 82,028.41/x
  3. Step 3: Cross multiply
    306,645.31x = 459,935.59 × 82,028.41
  4. Step 4: Simplify right side
    306,645.31x = 37,727,785,150.11
  5. Step 5: Solve for x
    x = 37,727,785,150.11/306,645.31
  6. Step 6: Final answer
    x = 123,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.