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Finding the Fourth Proportional to 397,308.20, 595,949 and 172,668.64

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Solution

The fourth proportional to 397,308.20, 595,949 and 172,668.64 is: 258,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,308.20 : 595,949 = 172,668.64 : x
  2. Step 2: Convert to fraction form
    397,308.20/595,949 = 172,668.64/x
  3. Step 3: Cross multiply
    397,308.20x = 595,949 × 172,668.64
  4. Step 4: Simplify right side
    397,308.20x = 102,901,703,339.36
  5. Step 5: Solve for x
    x = 102,901,703,339.36/397,308.20
  6. Step 6: Final answer
    x = 258,997.18

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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.