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Finding the Fourth Proportional to 410,115.20, 615,633.60 and 317,033.60

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Solution

The fourth proportional to 410,115.20, 615,633.60 and 317,033.60 is: 475,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,115.20 : 615,633.60 = 317,033.60 : x
  2. Step 2: Convert to fraction form
    410,115.20/615,633.60 = 317,033.60/x
  3. Step 3: Cross multiply
    410,115.20x = 615,633.60 × 317,033.60
  4. Step 4: Simplify right side
    410,115.20x = 195,176,536,488.96
  5. Step 5: Solve for x
    x = 195,176,536,488.96/410,115.20
  6. Step 6: Final answer
    x = 475,906.61

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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.