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Finding the Fourth Proportional to 4,647,854.56, 6,972,902.66 and 1,614,778.98

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Solution

The fourth proportional to 4,647,854.56, 6,972,902.66 and 1,614,778.98 is: 2,422,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647,854.56 : 6,972,902.66 = 1,614,778.98 : x
  2. Step 2: Convert to fraction form
    4,647,854.56/6,972,902.66 = 1,614,778.98/x
  3. Step 3: Cross multiply
    4,647,854.56x = 6,972,902.66 × 1,614,778.98
  4. Step 4: Simplify right side
    4,647,854.56x = 11,259,696,644,954.09
  5. Step 5: Solve for x
    x = 11,259,696,644,954.09/4,647,854.56
  6. Step 6: Final answer
    x = 2,422,557.87

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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.