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Finding the Fourth Proportional to 465,086.70, 641,647.44 and 292,958.46

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Solution

The fourth proportional to 465,086.70, 641,647.44 and 292,958.46 is: 404,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,086.70 : 641,647.44 = 292,958.46 : x
  2. Step 2: Convert to fraction form
    465,086.70/641,647.44 = 292,958.46/x
  3. Step 3: Cross multiply
    465,086.70x = 641,647.44 × 292,958.46
  4. Step 4: Simplify right side
    465,086.70x = 187,976,045,885.34
  5. Step 5: Solve for x
    x = 187,976,045,885.34/465,086.70
  6. Step 6: Final answer
    x = 404,174.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.