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Finding the Fourth Proportional to 306,644.83, 459,934.89 and 82,027.94

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Solution

The fourth proportional to 306,644.83, 459,934.89 and 82,027.94 is: 123,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,644.83 : 459,934.89 = 82,027.94 : x
  2. Step 2: Convert to fraction form
    306,644.83/459,934.89 = 82,027.94/x
  3. Step 3: Cross multiply
    306,644.83x = 459,934.89 × 82,027.94
  4. Step 4: Simplify right side
    306,644.83x = 37,727,511,560.83
  5. Step 5: Solve for x
    x = 37,727,511,560.83/306,644.83
  6. Step 6: Final answer
    x = 123,033.25

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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.