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Finding the Fourth Proportional to 400,424.98, 600,690.31 and 147,882.97

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Solution

The fourth proportional to 400,424.98, 600,690.31 and 147,882.97 is: 221,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,424.98 : 600,690.31 = 147,882.97 : x
  2. Step 2: Convert to fraction form
    400,424.98/600,690.31 = 147,882.97/x
  3. Step 3: Cross multiply
    400,424.98x = 600,690.31 × 147,882.97
  4. Step 4: Simplify right side
    400,424.98x = 88,831,867,093.02
  5. Step 5: Solve for x
    x = 88,831,867,093.02/400,424.98
  6. Step 6: Final answer
    x = 221,843.97

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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.