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Finding the Fourth Proportional to 463,282.13, 639,321.32 and 256,546.41

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Solution

The fourth proportional to 463,282.13, 639,321.32 and 256,546.41 is: 354,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,282.13 : 639,321.32 = 256,546.41 : x
  2. Step 2: Convert to fraction form
    463,282.13/639,321.32 = 256,546.41/x
  3. Step 3: Cross multiply
    463,282.13x = 639,321.32 × 256,546.41
  4. Step 4: Simplify right side
    463,282.13x = 164,015,591,226.62
  5. Step 5: Solve for x
    x = 164,015,591,226.62/463,282.13
  6. Step 6: Final answer
    x = 354,029.61

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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.