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Finding the Fourth Proportional to 589,593.80, 813,634.50 and 331,471.88

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Solution

The fourth proportional to 589,593.80, 813,634.50 and 331,471.88 is: 457,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,593.80 : 813,634.50 = 331,471.88 : x
  2. Step 2: Convert to fraction form
    589,593.80/813,634.50 = 331,471.88/x
  3. Step 3: Cross multiply
    589,593.80x = 813,634.50 × 331,471.88
  4. Step 4: Simplify right side
    589,593.80x = 269,696,957,573.84
  5. Step 5: Solve for x
    x = 269,696,957,573.84/589,593.80
  6. Step 6: Final answer
    x = 457,428.41

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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.