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Finding the Fourth Proportional to 408,905.34, 563,553.82 and 332,676.84

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Solution

The fourth proportional to 408,905.34, 563,553.82 and 332,676.84 is: 458,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,905.34 : 563,553.82 = 332,676.84 : x
  2. Step 2: Convert to fraction form
    408,905.34/563,553.82 = 332,676.84/x
  3. Step 3: Cross multiply
    408,905.34x = 563,553.82 × 332,676.84
  4. Step 4: Simplify right side
    408,905.34x = 187,481,304,007.53
  5. Step 5: Solve for x
    x = 187,481,304,007.53/408,905.34
  6. Step 6: Final answer
    x = 458,495.61

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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.