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Finding the Fourth Proportional to 341,411.28, 471,077.22 and 196,189.02

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Solution

The fourth proportional to 341,411.28, 471,077.22 and 196,189.02 is: 270,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,411.28 : 471,077.22 = 196,189.02 : x
  2. Step 2: Convert to fraction form
    341,411.28/471,077.22 = 196,189.02/x
  3. Step 3: Cross multiply
    341,411.28x = 471,077.22 × 196,189.02
  4. Step 4: Simplify right side
    341,411.28x = 92,420,178,136.12
  5. Step 5: Solve for x
    x = 92,420,178,136.12/341,411.28
  6. Step 6: Final answer
    x = 270,700.42

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