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Finding the Fourth Proportional to 511,001.44, 705,197.96 and 293,249.94

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Solution

The fourth proportional to 511,001.44, 705,197.96 and 293,249.94 is: 404,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,001.44 : 705,197.96 = 293,249.94 : x
  2. Step 2: Convert to fraction form
    511,001.44/705,197.96 = 293,249.94/x
  3. Step 3: Cross multiply
    511,001.44x = 705,197.96 × 293,249.94
  4. Step 4: Simplify right side
    511,001.44x = 206,799,259,458.12
  5. Step 5: Solve for x
    x = 206,799,259,458.12/511,001.44
  6. Step 6: Final answer
    x = 404,694.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.