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Finding the Fourth Proportional to 511,910.40, 767,858.40 and 231,427.20

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Solution

The fourth proportional to 511,910.40, 767,858.40 and 231,427.20 is: 347,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,910.40 : 767,858.40 = 231,427.20 : x
  2. Step 2: Convert to fraction form
    511,910.40/767,858.40 = 231,427.20/x
  3. Step 3: Cross multiply
    511,910.40x = 767,858.40 × 231,427.20
  4. Step 4: Simplify right side
    511,910.40x = 177,703,319,508.48
  5. Step 5: Solve for x
    x = 177,703,319,508.48/511,910.40
  6. Step 6: Final answer
    x = 347,137.54

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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.