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Finding the Fourth Proportional to 5,394,945.40, 8,092,418.10 and 1,405,857.40

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Solution

The fourth proportional to 5,394,945.40, 8,092,418.10 and 1,405,857.40 is: 2,108,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,945.40 : 8,092,418.10 = 1,405,857.40 : x
  2. Step 2: Convert to fraction form
    5,394,945.40/8,092,418.10 = 1,405,857.40/x
  3. Step 3: Cross multiply
    5,394,945.40x = 8,092,418.10 × 1,405,857.40
  4. Step 4: Simplify right side
    5,394,945.40x = 11,376,785,869,778.94
  5. Step 5: Solve for x
    x = 11,376,785,869,778.94/5,394,945.40
  6. Step 6: Final answer
    x = 2,108,786.10

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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.