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Finding the Fourth Proportional to 397,162.54, 595,408.02 and 172,352.91

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Solution

The fourth proportional to 397,162.54, 595,408.02 and 172,352.91 is: 258,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,162.54 : 595,408.02 = 172,352.91 : x
  2. Step 2: Convert to fraction form
    397,162.54/595,408.02 = 172,352.91/x
  3. Step 3: Cross multiply
    397,162.54x = 595,408.02 × 172,352.91
  4. Step 4: Simplify right side
    397,162.54x = 102,620,306,470.80
  5. Step 5: Solve for x
    x = 102,620,306,470.80/397,162.54
  6. Step 6: Final answer
    x = 258,383.65

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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.