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Finding the Fourth Proportional to 397,162.47, 595,408.85 and 172,353.54

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Solution

The fourth proportional to 397,162.47, 595,408.85 and 172,353.54 is: 258,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,162.47 : 595,408.85 = 172,353.54 : x
  2. Step 2: Convert to fraction form
    397,162.47/595,408.85 = 172,353.54/x
  3. Step 3: Cross multiply
    397,162.47x = 595,408.85 × 172,353.54
  4. Step 4: Simplify right side
    397,162.47x = 102,620,823,044.83
  5. Step 5: Solve for x
    x = 102,620,823,044.83/397,162.47
  6. Step 6: Final answer
    x = 258,385.00

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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.