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Finding the Fourth Proportional to 589,563.60, 813,553.01 and 331,399.49

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Solution

The fourth proportional to 589,563.60, 813,553.01 and 331,399.49 is: 457,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,563.60 : 813,553.01 = 331,399.49 : x
  2. Step 2: Convert to fraction form
    589,563.60/813,553.01 = 331,399.49/x
  3. Step 3: Cross multiply
    589,563.60x = 813,553.01 × 331,399.49
  4. Step 4: Simplify right side
    589,563.60x = 269,611,046,877.20
  5. Step 5: Solve for x
    x = 269,611,046,877.20/589,563.60
  6. Step 6: Final answer
    x = 457,306.13

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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.