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Finding the Fourth Proportional to 589,588.65, 813,661.17 and 331,546.80

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Solution

The fourth proportional to 589,588.65, 813,661.17 and 331,546.80 is: 457,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,588.65 : 813,661.17 = 331,546.80 : x
  2. Step 2: Convert to fraction form
    589,588.65/813,661.17 = 331,546.80/x
  3. Step 3: Cross multiply
    589,588.65x = 813,661.17 × 331,546.80
  4. Step 4: Simplify right side
    589,588.65x = 269,766,754,937.85
  5. Step 5: Solve for x
    x = 269,766,754,937.85/589,588.65
  6. Step 6: Final answer
    x = 457,550.80

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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.