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Finding the Fourth Proportional to 360,969.32, 498,141.60 and 199,827.06

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Solution

The fourth proportional to 360,969.32, 498,141.60 and 199,827.06 is: 275,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,969.32 : 498,141.60 = 199,827.06 : x
  2. Step 2: Convert to fraction form
    360,969.32/498,141.60 = 199,827.06/x
  3. Step 3: Cross multiply
    360,969.32x = 498,141.60 × 199,827.06
  4. Step 4: Simplify right side
    360,969.32x = 99,542,171,391.70
  5. Step 5: Solve for x
    x = 99,542,171,391.70/360,969.32
  6. Step 6: Final answer
    x = 275,763.53

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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.