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Finding the Fourth Proportional to 511,638.13, 767,456.65 and 174,650.82

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Solution

The fourth proportional to 511,638.13, 767,456.65 and 174,650.82 is: 261,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,638.13 : 767,456.65 = 174,650.82 : x
  2. Step 2: Convert to fraction form
    511,638.13/767,456.65 = 174,650.82/x
  3. Step 3: Cross multiply
    511,638.13x = 767,456.65 × 174,650.82
  4. Step 4: Simplify right side
    511,638.13x = 134,036,933,236.95
  5. Step 5: Solve for x
    x = 134,036,933,236.95/511,638.13
  6. Step 6: Final answer
    x = 261,976.04

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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.