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Finding the Fourth Proportional to 341,295.97, 471,082.10 and 198,102.14

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Solution

The fourth proportional to 341,295.97, 471,082.10 and 198,102.14 is: 273,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,295.97 : 471,082.10 = 198,102.14 : x
  2. Step 2: Convert to fraction form
    341,295.97/471,082.10 = 198,102.14/x
  3. Step 3: Cross multiply
    341,295.97x = 471,082.10 × 198,102.14
  4. Step 4: Simplify right side
    341,295.97x = 93,322,372,125.69
  5. Step 5: Solve for x
    x = 93,322,372,125.69/341,295.97
  6. Step 6: Final answer
    x = 273,435.32

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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.