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Finding the Fourth Proportional to 361,563.95, 498,947.44 and 198,214.87

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Solution

The fourth proportional to 361,563.95, 498,947.44 and 198,214.87 is: 273,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,563.95 : 498,947.44 = 198,214.87 : x
  2. Step 2: Convert to fraction form
    361,563.95/498,947.44 = 198,214.87/x
  3. Step 3: Cross multiply
    361,563.95x = 498,947.44 × 198,214.87
  4. Step 4: Simplify right side
    361,563.95x = 98,898,798,470.62
  5. Step 5: Solve for x
    x = 98,898,798,470.62/361,563.95
  6. Step 6: Final answer
    x = 273,530.59

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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.