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Finding the Fourth Proportional to 397,007.34, 595,176.08 and 172,198.42

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Solution

The fourth proportional to 397,007.34, 595,176.08 and 172,198.42 is: 258,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,007.34 : 595,176.08 = 172,198.42 : x
  2. Step 2: Convert to fraction form
    397,007.34/595,176.08 = 172,198.42/x
  3. Step 3: Cross multiply
    397,007.34x = 595,176.08 × 172,198.42
  4. Step 4: Simplify right side
    397,007.34x = 102,488,379,540.35
  5. Step 5: Solve for x
    x = 102,488,379,540.35/397,007.34
  6. Step 6: Final answer
    x = 258,152.35

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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.