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Finding the Fourth Proportional to 639,175.75, 958,894.84 and 189,856.60

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Solution

The fourth proportional to 639,175.75, 958,894.84 and 189,856.60 is: 284,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,175.75 : 958,894.84 = 189,856.60 : x
  2. Step 2: Convert to fraction form
    639,175.75/958,894.84 = 189,856.60/x
  3. Step 3: Cross multiply
    639,175.75x = 958,894.84 × 189,856.60
  4. Step 4: Simplify right side
    639,175.75x = 182,052,511,208.07
  5. Step 5: Solve for x
    x = 182,052,511,208.07/639,175.75
  6. Step 6: Final answer
    x = 284,823.87

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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.