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Finding the Fourth Proportional to 284,333.44, 392,372.76 and 182,254

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Solution

The fourth proportional to 284,333.44, 392,372.76 and 182,254 is: 251,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,333.44 : 392,372.76 = 182,254 : x
  2. Step 2: Convert to fraction form
    284,333.44/392,372.76 = 182,254/x
  3. Step 3: Cross multiply
    284,333.44x = 392,372.76 × 182,254
  4. Step 4: Simplify right side
    284,333.44x = 71,511,505,001.04
  5. Step 5: Solve for x
    x = 71,511,505,001.04/284,333.44
  6. Step 6: Final answer
    x = 251,505.78

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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.