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Finding the Fourth Proportional to 513,824.40, 770,736.60 and 364,233.60

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Solution

The fourth proportional to 513,824.40, 770,736.60 and 364,233.60 is: 546,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,824.40 : 770,736.60 = 364,233.60 : x
  2. Step 2: Convert to fraction form
    513,824.40/770,736.60 = 364,233.60/x
  3. Step 3: Cross multiply
    513,824.40x = 770,736.60 × 364,233.60
  4. Step 4: Simplify right side
    513,824.40x = 280,728,166,469.76
  5. Step 5: Solve for x
    x = 280,728,166,469.76/513,824.40
  6. Step 6: Final answer
    x = 546,350.40

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Half scale
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Double scale
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Similar ratio
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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.