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Finding the Fourth Proportional to 512,377.42, 768,575.24 and 157,394.52

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Solution

The fourth proportional to 512,377.42, 768,575.24 and 157,394.52 is: 236,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,377.42 : 768,575.24 = 157,394.52 : x
  2. Step 2: Convert to fraction form
    512,377.42/768,575.24 = 157,394.52/x
  3. Step 3: Cross multiply
    512,377.42x = 768,575.24 × 157,394.52
  4. Step 4: Simplify right side
    512,377.42x = 120,969,530,983.69
  5. Step 5: Solve for x
    x = 120,969,530,983.69/512,377.42
  6. Step 6: Final answer
    x = 236,094.58

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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.