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Finding the Fourth Proportional to 299,701.35, 412,745.90 and 293,169.51

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Solution

The fourth proportional to 299,701.35, 412,745.90 and 293,169.51 is: 403,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,701.35 : 412,745.90 = 293,169.51 : x
  2. Step 2: Convert to fraction form
    299,701.35/412,745.90 = 293,169.51/x
  3. Step 3: Cross multiply
    299,701.35x = 412,745.90 × 293,169.51
  4. Step 4: Simplify right side
    299,701.35x = 121,004,511,791.66
  5. Step 5: Solve for x
    x = 121,004,511,791.66/299,701.35
  6. Step 6: Final answer
    x = 403,750.31

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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.