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Finding the Fourth Proportional to 512,273.76, 768,524.88 and 157,323.60

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Solution

The fourth proportional to 512,273.76, 768,524.88 and 157,323.60 is: 236,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,273.76 : 768,524.88 = 157,323.60 : x
  2. Step 2: Convert to fraction form
    512,273.76/768,524.88 = 157,323.60/x
  3. Step 3: Cross multiply
    512,273.76x = 768,524.88 × 157,323.60
  4. Step 4: Simplify right side
    512,273.76x = 120,907,100,811.17
  5. Step 5: Solve for x
    x = 120,907,100,811.17/512,273.76
  6. Step 6: Final answer
    x = 236,020.48

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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.