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Finding the Fourth Proportional to 397,309.20, 595,950.50 and 172,669.64

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Solution

The fourth proportional to 397,309.20, 595,950.50 and 172,669.64 is: 258,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,309.20 : 595,950.50 = 172,669.64 : x
  2. Step 2: Convert to fraction form
    397,309.20/595,950.50 = 172,669.64/x
  3. Step 3: Cross multiply
    397,309.20x = 595,950.50 × 172,669.64
  4. Step 4: Simplify right side
    397,309.20x = 102,902,558,292.82
  5. Step 5: Solve for x
    x = 102,902,558,292.82/397,309.20
  6. Step 6: Final answer
    x = 258,998.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.