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Finding the Fourth Proportional to 341,563.92, 471,356.40 and 198,359.16

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Solution

The fourth proportional to 341,563.92, 471,356.40 and 198,359.16 is: 273,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,563.92 : 471,356.40 = 198,359.16 : x
  2. Step 2: Convert to fraction form
    341,563.92/471,356.40 = 198,359.16/x
  3. Step 3: Cross multiply
    341,563.92x = 471,356.40 × 198,359.16
  4. Step 4: Simplify right side
    341,563.92x = 93,497,859,564.62
  5. Step 5: Solve for x
    x = 93,497,859,564.62/341,563.92
  6. Step 6: Final answer
    x = 273,734.59

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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.