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Finding the Fourth Proportional to 284,605.97, 426,982.73 and 151,376.63

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Solution

The fourth proportional to 284,605.97, 426,982.73 and 151,376.63 is: 227,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,605.97 : 426,982.73 = 151,376.63 : x
  2. Step 2: Convert to fraction form
    284,605.97/426,982.73 = 151,376.63/x
  3. Step 3: Cross multiply
    284,605.97x = 426,982.73 × 151,376.63
  4. Step 4: Simplify right side
    284,605.97x = 64,635,203,843.80
  5. Step 5: Solve for x
    x = 64,635,203,843.80/284,605.97
  6. Step 6: Final answer
    x = 227,104.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.