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Finding the Fourth Proportional to 541,231.90, 812,168.49 and 301,546.42

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Solution

The fourth proportional to 541,231.90, 812,168.49 and 301,546.42 is: 452,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,231.90 : 812,168.49 = 301,546.42 : x
  2. Step 2: Convert to fraction form
    541,231.90/812,168.49 = 301,546.42/x
  3. Step 3: Cross multiply
    541,231.90x = 812,168.49 × 301,546.42
  4. Step 4: Simplify right side
    541,231.90x = 244,906,500,596.31
  5. Step 5: Solve for x
    x = 244,906,500,596.31/541,231.90
  6. Step 6: Final answer
    x = 452,498.27

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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.