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Finding the Fourth Proportional to 705,399.16, 1,058,093.07 and 419,194.30

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Solution

The fourth proportional to 705,399.16, 1,058,093.07 and 419,194.30 is: 628,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,399.16 : 1,058,093.07 = 419,194.30 : x
  2. Step 2: Convert to fraction form
    705,399.16/1,058,093.07 = 419,194.30/x
  3. Step 3: Cross multiply
    705,399.16x = 1,058,093.07 × 419,194.30
  4. Step 4: Simplify right side
    705,399.16x = 443,546,583,813.50
  5. Step 5: Solve for x
    x = 443,546,583,813.50/705,399.16
  6. Step 6: Final answer
    x = 628,788.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.