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Finding the Fourth Proportional to 3,294,654.98, 4,945,170.31 and 1,589,998.25

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Solution

The fourth proportional to 3,294,654.98, 4,945,170.31 and 1,589,998.25 is: 2,386,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294,654.98 : 4,945,170.31 = 1,589,998.25 : x
  2. Step 2: Convert to fraction form
    3,294,654.98/4,945,170.31 = 1,589,998.25/x
  3. Step 3: Cross multiply
    3,294,654.98x = 4,945,170.31 × 1,589,998.25
  4. Step 4: Simplify right side
    3,294,654.98x = 7,862,812,147,239.89
  5. Step 5: Solve for x
    x = 7,862,812,147,239.89/3,294,654.98
  6. Step 6: Final answer
    x = 2,386,535.83

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Why These Related Problems?

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