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Finding the Fourth Proportional to 512,308.36, 768,484.50 and 157,336.48

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Solution

The fourth proportional to 512,308.36, 768,484.50 and 157,336.48 is: 236,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,308.36 : 768,484.50 = 157,336.48 : x
  2. Step 2: Convert to fraction form
    512,308.36/768,484.50 = 157,336.48/x
  3. Step 3: Cross multiply
    512,308.36x = 768,484.50 × 157,336.48
  4. Step 4: Simplify right side
    512,308.36x = 120,910,646,164.56
  5. Step 5: Solve for x
    x = 120,910,646,164.56/512,308.36
  6. Step 6: Final answer
    x = 236,011.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.