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Finding the Fourth Proportional to 341,404.80, 471,063.24 and 198,081.84

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Solution

The fourth proportional to 341,404.80, 471,063.24 and 198,081.84 is: 273,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,404.80 : 471,063.24 = 198,081.84 : x
  2. Step 2: Convert to fraction form
    341,404.80/471,063.24 = 198,081.84/x
  3. Step 3: Cross multiply
    341,404.80x = 471,063.24 × 198,081.84
  4. Step 4: Simplify right side
    341,404.80x = 93,309,073,335.56
  5. Step 5: Solve for x
    x = 93,309,073,335.56/341,404.80
  6. Step 6: Final answer
    x = 273,309.20

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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.