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Finding the Fourth Proportional to 481,792, 664,872.96 and 293,376

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Solution

The fourth proportional to 481,792, 664,872.96 and 293,376 is: 404,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,792 : 664,872.96 = 293,376 : x
  2. Step 2: Convert to fraction form
    481,792/664,872.96 = 293,376/x
  3. Step 3: Cross multiply
    481,792x = 664,872.96 × 293,376
  4. Step 4: Simplify right side
    481,792x = 195,057,769,512.96
  5. Step 5: Solve for x
    x = 195,057,769,512.96/481,792
  6. Step 6: Final answer
    x = 404,858.88

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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.