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Finding the Fourth Proportional to 341,956.49, 471,958.56 and 198,799.57

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Solution

The fourth proportional to 341,956.49, 471,958.56 and 198,799.57 is: 274,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,956.49 : 471,958.56 = 198,799.57 : x
  2. Step 2: Convert to fraction form
    341,956.49/471,958.56 = 198,799.57/x
  3. Step 3: Cross multiply
    341,956.49x = 471,958.56 × 198,799.57
  4. Step 4: Simplify right side
    341,956.49x = 93,825,158,785.82
  5. Step 5: Solve for x
    x = 93,825,158,785.82/341,956.49
  6. Step 6: Final answer
    x = 274,377.48

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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.