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Finding the Fourth Proportional to 547,675.79, 821,418.91 and 148,223.27

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Solution

The fourth proportional to 547,675.79, 821,418.91 and 148,223.27 is: 222,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,675.79 : 821,418.91 = 148,223.27 : x
  2. Step 2: Convert to fraction form
    547,675.79/821,418.91 = 148,223.27/x
  3. Step 3: Cross multiply
    547,675.79x = 821,418.91 × 148,223.27
  4. Step 4: Simplify right side
    547,675.79x = 121,753,398,563.03
  5. Step 5: Solve for x
    x = 121,753,398,563.03/547,675.79
  6. Step 6: Final answer
    x = 222,309.26

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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.