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Finding the Fourth Proportional to 397,306.70, 595,946.88 and 172,667.37

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Solution

The fourth proportional to 397,306.70, 595,946.88 and 172,667.37 is: 258,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,306.70 : 595,946.88 = 172,667.37 : x
  2. Step 2: Convert to fraction form
    397,306.70/595,946.88 = 172,667.37/x
  3. Step 3: Cross multiply
    397,306.70x = 595,946.88 × 172,667.37
  4. Step 4: Simplify right side
    397,306.70x = 102,900,580,429.31
  5. Step 5: Solve for x
    x = 102,900,580,429.31/397,306.70
  6. Step 6: Final answer
    x = 258,995.33

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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.