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Finding the Fourth Proportional to 596,568.38, 823,264.49 and 328,296.38

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Solution

The fourth proportional to 596,568.38, 823,264.49 and 328,296.38 is: 453,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,568.38 : 823,264.49 = 328,296.38 : x
  2. Step 2: Convert to fraction form
    596,568.38/823,264.49 = 328,296.38/x
  3. Step 3: Cross multiply
    596,568.38x = 823,264.49 × 328,296.38
  4. Step 4: Simplify right side
    596,568.38x = 270,274,748,553.97
  5. Step 5: Solve for x
    x = 270,274,748,553.97/596,568.38
  6. Step 6: Final answer
    x = 453,049.07

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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.