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Finding the Fourth Proportional to 511,418.52, 767,213.82 and 156,349.44

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Solution

The fourth proportional to 511,418.52, 767,213.82 and 156,349.44 is: 234,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,418.52 : 767,213.82 = 156,349.44 : x
  2. Step 2: Convert to fraction form
    511,418.52/767,213.82 = 156,349.44/x
  3. Step 3: Cross multiply
    511,418.52x = 767,213.82 × 156,349.44
  4. Step 4: Simplify right side
    511,418.52x = 119,953,451,117.26
  5. Step 5: Solve for x
    x = 119,953,451,117.26/511,418.52
  6. Step 6: Final answer
    x = 234,550.46

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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.