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Finding the Fourth Proportional to 589,588.71, 813,661.30 and 331,546.91

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Solution

The fourth proportional to 589,588.71, 813,661.30 and 331,546.91 is: 457,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,588.71 : 813,661.30 = 331,546.91 : x
  2. Step 2: Convert to fraction form
    589,588.71/813,661.30 = 331,546.91/x
  3. Step 3: Cross multiply
    589,588.71x = 813,661.30 × 331,546.91
  4. Step 4: Simplify right side
    589,588.71x = 269,766,886,147.71
  5. Step 5: Solve for x
    x = 269,766,886,147.71/589,588.71
  6. Step 6: Final answer
    x = 457,550.97

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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.