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Finding the Fourth Proportional to 341,861.97, 471,654 and 198,504.12

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Solution

The fourth proportional to 341,861.97, 471,654 and 198,504.12 is: 273,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,861.97 : 471,654 = 198,504.12 : x
  2. Step 2: Convert to fraction form
    341,861.97/471,654 = 198,504.12/x
  3. Step 3: Cross multiply
    341,861.97x = 471,654 × 198,504.12
  4. Step 4: Simplify right side
    341,861.97x = 93,625,262,214.48
  5. Step 5: Solve for x
    x = 93,625,262,214.48/341,861.97
  6. Step 6: Final answer
    x = 273,868.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.