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Finding the Fourth Proportional to 513,366.44, 770,180.86 and 197,738.60

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Solution

The fourth proportional to 513,366.44, 770,180.86 and 197,738.60 is: 296,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,366.44 : 770,180.86 = 197,738.60 : x
  2. Step 2: Convert to fraction form
    513,366.44/770,180.86 = 197,738.60/x
  3. Step 3: Cross multiply
    513,366.44x = 770,180.86 × 197,738.60
  4. Step 4: Simplify right side
    513,366.44x = 152,294,485,003.20
  5. Step 5: Solve for x
    x = 152,294,485,003.20/513,366.44
  6. Step 6: Final answer
    x = 296,658.44

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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.