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Finding the Fourth Proportional to 410,963.60, 616,560.60 and 200,608.40

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Solution

The fourth proportional to 410,963.60, 616,560.60 and 200,608.40 is: 300,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,963.60 : 616,560.60 = 200,608.40 : x
  2. Step 2: Convert to fraction form
    410,963.60/616,560.60 = 200,608.40/x
  3. Step 3: Cross multiply
    410,963.60x = 616,560.60 × 200,608.40
  4. Step 4: Simplify right side
    410,963.60x = 123,687,235,469.04
  5. Step 5: Solve for x
    x = 123,687,235,469.04/410,963.60
  6. Step 6: Final answer
    x = 300,968.83

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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.