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Finding the Fourth Proportional to 360,934.92, 498,074.04 and 199,778.58

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Solution

The fourth proportional to 360,934.92, 498,074.04 and 199,778.58 is: 275,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,934.92 : 498,074.04 = 199,778.58 : x
  2. Step 2: Convert to fraction form
    360,934.92/498,074.04 = 199,778.58/x
  3. Step 3: Cross multiply
    360,934.92x = 498,074.04 × 199,778.58
  4. Step 4: Simplify right side
    360,934.92x = 99,504,524,446.06
  5. Step 5: Solve for x
    x = 99,504,524,446.06/360,934.92
  6. Step 6: Final answer
    x = 275,685.50

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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.