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Finding the Fourth Proportional to 256,403.35, 384,605.30 and 66,863.58

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Solution

The fourth proportional to 256,403.35, 384,605.30 and 66,863.58 is: 100,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403.35 : 384,605.30 = 66,863.58 : x
  2. Step 2: Convert to fraction form
    256,403.35/384,605.30 = 66,863.58/x
  3. Step 3: Cross multiply
    256,403.35x = 384,605.30 × 66,863.58
  4. Step 4: Simplify right side
    256,403.35x = 25,716,087,244.97
  5. Step 5: Solve for x
    x = 25,716,087,244.97/256,403.35
  6. Step 6: Final answer
    x = 100,295.44

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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.