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Finding the Fourth Proportional to 481,722.16, 722,317.80 and 165,918.64

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Solution

The fourth proportional to 481,722.16, 722,317.80 and 165,918.64 is: 248,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,722.16 : 722,317.80 = 165,918.64 : x
  2. Step 2: Convert to fraction form
    481,722.16/722,317.80 = 165,918.64/x
  3. Step 3: Cross multiply
    481,722.16x = 722,317.80 × 165,918.64
  4. Step 4: Simplify right side
    481,722.16x = 119,845,987,023.79
  5. Step 5: Solve for x
    x = 119,845,987,023.79/481,722.16
  6. Step 6: Final answer
    x = 248,786.54

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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.