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Finding the Fourth Proportional to 512,496.82, 768,818.73 and 157,540.64

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Solution

The fourth proportional to 512,496.82, 768,818.73 and 157,540.64 is: 236,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,496.82 : 768,818.73 = 157,540.64 : x
  2. Step 2: Convert to fraction form
    512,496.82/768,818.73 = 157,540.64/x
  3. Step 3: Cross multiply
    512,496.82x = 768,818.73 × 157,540.64
  4. Step 4: Simplify right side
    512,496.82x = 121,120,194,768.19
  5. Step 5: Solve for x
    x = 121,120,194,768.19/512,496.82
  6. Step 6: Final answer
    x = 236,333.55

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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.