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Finding the Fourth Proportional to 341,783.80, 471,647.30 and 196,578.59

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Solution

The fourth proportional to 341,783.80, 471,647.30 and 196,578.59 is: 271,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,783.80 : 471,647.30 = 196,578.59 : x
  2. Step 2: Convert to fraction form
    341,783.80/471,647.30 = 196,578.59/x
  3. Step 3: Cross multiply
    341,783.80x = 471,647.30 × 196,578.59
  4. Step 4: Simplify right side
    341,783.80x = 92,715,757,870.18
  5. Step 5: Solve for x
    x = 92,715,757,870.18/341,783.80
  6. Step 6: Final answer
    x = 271,270.20

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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.