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Finding the Fourth Proportional to 511,596.94, 766,659.73 and 351,853.24

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Solution

The fourth proportional to 511,596.94, 766,659.73 and 351,853.24 is: 527,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,596.94 : 766,659.73 = 351,853.24 : x
  2. Step 2: Convert to fraction form
    511,596.94/766,659.73 = 351,853.24/x
  3. Step 3: Cross multiply
    511,596.94x = 766,659.73 × 351,853.24
  4. Step 4: Simplify right side
    511,596.94x = 269,751,709,978.03
  5. Step 5: Solve for x
    x = 269,751,709,978.03/511,596.94
  6. Step 6: Final answer
    x = 527,273.89

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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.