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Finding the Fourth Proportional to 410,832.80, 615,730.80 and 200,016.80

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Solution

The fourth proportional to 410,832.80, 615,730.80 and 200,016.80 is: 299,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,832.80 : 615,730.80 = 200,016.80 : x
  2. Step 2: Convert to fraction form
    410,832.80/615,730.80 = 200,016.80/x
  3. Step 3: Cross multiply
    410,832.80x = 615,730.80 × 200,016.80
  4. Step 4: Simplify right side
    410,832.80x = 123,156,504,277.44
  5. Step 5: Solve for x
    x = 123,156,504,277.44/410,832.80
  6. Step 6: Final answer
    x = 299,772.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.