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Finding the Fourth Proportional to 1,380,469.26, 1,905,982.74 and 864,430.20

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Solution

The fourth proportional to 1,380,469.26, 1,905,982.74 and 864,430.20 is: 1,193,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,469.26 : 1,905,982.74 = 864,430.20 : x
  2. Step 2: Convert to fraction form
    1,380,469.26/1,905,982.74 = 864,430.20/x
  3. Step 3: Cross multiply
    1,380,469.26x = 1,905,982.74 × 864,430.20
  4. Step 4: Simplify right side
    1,380,469.26x = 1,647,589,041,134.75
  5. Step 5: Solve for x
    x = 1,647,589,041,134.75/1,380,469.26
  6. Step 6: Final answer
    x = 1,193,499.26

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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.