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Finding the Fourth Proportional to 410,659.20, 616,449.60 and 317,577.60

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Solution

The fourth proportional to 410,659.20, 616,449.60 and 317,577.60 is: 476,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,659.20 : 616,449.60 = 317,577.60 : x
  2. Step 2: Convert to fraction form
    410,659.20/616,449.60 = 317,577.60/x
  3. Step 3: Cross multiply
    410,659.20x = 616,449.60 × 317,577.60
  4. Step 4: Simplify right side
    410,659.20x = 195,770,584,488.96
  5. Step 5: Solve for x
    x = 195,770,584,488.96/410,659.20
  6. Step 6: Final answer
    x = 476,722.75

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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.