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Finding the Fourth Proportional to 397,010.30, 595,180.67 and 172,201.48

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Solution

The fourth proportional to 397,010.30, 595,180.67 and 172,201.48 is: 258,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,010.30 : 595,180.67 = 172,201.48 : x
  2. Step 2: Convert to fraction form
    397,010.30/595,180.67 = 172,201.48/x
  3. Step 3: Cross multiply
    397,010.30x = 595,180.67 × 172,201.48
  4. Step 4: Simplify right side
    397,010.30x = 102,490,992,241.39
  5. Step 5: Solve for x
    x = 102,490,992,241.39/397,010.30
  6. Step 6: Final answer
    x = 258,157.01

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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.