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Finding the Fourth Proportional to 501,617.12, 752,469.44 and 164,556.80

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Solution

The fourth proportional to 501,617.12, 752,469.44 and 164,556.80 is: 246,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,617.12 : 752,469.44 = 164,556.80 : x
  2. Step 2: Convert to fraction form
    501,617.12/752,469.44 = 164,556.80/x
  3. Step 3: Cross multiply
    501,617.12x = 752,469.44 × 164,556.80
  4. Step 4: Simplify right side
    501,617.12x = 123,823,963,144.19
  5. Step 5: Solve for x
    x = 123,823,963,144.19/501,617.12
  6. Step 6: Final answer
    x = 246,849.56

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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.