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Finding the Fourth Proportional to 360,969.26, 498,141.52 and 199,827

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Solution

The fourth proportional to 360,969.26, 498,141.52 and 199,827 is: 275,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,969.26 : 498,141.52 = 199,827 : x
  2. Step 2: Convert to fraction form
    360,969.26/498,141.52 = 199,827/x
  3. Step 3: Cross multiply
    360,969.26x = 498,141.52 × 199,827
  4. Step 4: Simplify right side
    360,969.26x = 99,542,125,517.04
  5. Step 5: Solve for x
    x = 99,542,125,517.04/360,969.26
  6. Step 6: Final answer
    x = 275,763.44

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1.5x scale

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.