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Finding the Fourth Proportional to 273,942.65, 411,006.27 and 172,623.03

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Solution

The fourth proportional to 273,942.65, 411,006.27 and 172,623.03 is: 258,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,942.65 : 411,006.27 = 172,623.03 : x
  2. Step 2: Convert to fraction form
    273,942.65/411,006.27 = 172,623.03/x
  3. Step 3: Cross multiply
    273,942.65x = 411,006.27 × 172,623.03
  4. Step 4: Simplify right side
    273,942.65x = 70,949,147,676.40
  5. Step 5: Solve for x
    x = 70,949,147,676.40/273,942.65
  6. Step 6: Final answer
    x = 258,992.71

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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.