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Finding the Fourth Proportional to 589,692.72, 813,805.20 and 331,651.02

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Solution

The fourth proportional to 589,692.72, 813,805.20 and 331,651.02 is: 457,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,692.72 : 813,805.20 = 331,651.02 : x
  2. Step 2: Convert to fraction form
    589,692.72/813,805.20 = 331,651.02/x
  3. Step 3: Cross multiply
    589,692.72x = 813,805.20 × 331,651.02
  4. Step 4: Simplify right side
    589,692.72x = 269,899,324,661.30
  5. Step 5: Solve for x
    x = 269,899,324,661.30/589,692.72
  6. Step 6: Final answer
    x = 457,694.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.