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Finding the Fourth Proportional to 597,676.13, 824,769 and 325,738.17

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Solution

The fourth proportional to 597,676.13, 824,769 and 325,738.17 is: 449,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,676.13 : 824,769 = 325,738.17 : x
  2. Step 2: Convert to fraction form
    597,676.13/824,769 = 325,738.17/x
  3. Step 3: Cross multiply
    597,676.13x = 824,769 × 325,738.17
  4. Step 4: Simplify right side
    597,676.13x = 268,658,744,732.73
  5. Step 5: Solve for x
    x = 268,658,744,732.73/597,676.13
  6. Step 6: Final answer
    x = 449,505.56

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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.