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Finding the Fourth Proportional to 410,793.60, 616,190.40 and 327,849.60

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Solution

The fourth proportional to 410,793.60, 616,190.40 and 327,849.60 is: 491,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,793.60 : 616,190.40 = 327,849.60 : x
  2. Step 2: Convert to fraction form
    410,793.60/616,190.40 = 327,849.60/x
  3. Step 3: Cross multiply
    410,793.60x = 616,190.40 × 327,849.60
  4. Step 4: Simplify right side
    410,793.60x = 202,017,776,163.84
  5. Step 5: Solve for x
    x = 202,017,776,163.84/410,793.60
  6. Step 6: Final answer
    x = 491,774.40

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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.