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Finding the Fourth Proportional to 766,754.82, 1,058,078.43 and 422,589.66

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Solution

The fourth proportional to 766,754.82, 1,058,078.43 and 422,589.66 is: 583,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,754.82 : 1,058,078.43 = 422,589.66 : x
  2. Step 2: Convert to fraction form
    766,754.82/1,058,078.43 = 422,589.66/x
  3. Step 3: Cross multiply
    766,754.82x = 1,058,078.43 × 422,589.66
  4. Step 4: Simplify right side
    766,754.82x = 447,133,003,987.03
  5. Step 5: Solve for x
    x = 447,133,003,987.03/766,754.82
  6. Step 6: Final answer
    x = 583,149.91

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