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Finding the Fourth Proportional to 397,305.69, 595,945.26 and 172,666.14

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Solution

The fourth proportional to 397,305.69, 595,945.26 and 172,666.14 is: 258,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,305.69 : 595,945.26 = 172,666.14 : x
  2. Step 2: Convert to fraction form
    397,305.69/595,945.26 = 172,666.14/x
  3. Step 3: Cross multiply
    397,305.69x = 595,945.26 × 172,666.14
  4. Step 4: Simplify right side
    397,305.69x = 102,899,567,695.50
  5. Step 5: Solve for x
    x = 102,899,567,695.50/397,305.69
  6. Step 6: Final answer
    x = 258,993.44

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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.