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Finding the Fourth Proportional to 383,997.30, 575,974.39 and 117,757.09

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Solution

The fourth proportional to 383,997.30, 575,974.39 and 117,757.09 is: 176,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,997.30 : 575,974.39 = 117,757.09 : x
  2. Step 2: Convert to fraction form
    383,997.30/575,974.39 = 117,757.09/x
  3. Step 3: Cross multiply
    383,997.30x = 575,974.39 × 117,757.09
  4. Step 4: Simplify right side
    383,997.30x = 67,825,064,612.27
  5. Step 5: Solve for x
    x = 67,825,064,612.27/383,997.30
  6. Step 6: Final answer
    x = 176,629.01

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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.