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Finding the Fourth Proportional to 329,582, 494,198.04 and 151,997.60

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Solution

The fourth proportional to 329,582, 494,198.04 and 151,997.60 is: 227,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,582 : 494,198.04 = 151,997.60 : x
  2. Step 2: Convert to fraction form
    329,582/494,198.04 = 151,997.60/x
  3. Step 3: Cross multiply
    329,582x = 494,198.04 × 151,997.60
  4. Step 4: Simplify right side
    329,582x = 75,116,916,004.70
  5. Step 5: Solve for x
    x = 75,116,916,004.70/329,582
  6. Step 6: Final answer
    x = 227,915.71

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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.