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Finding the Fourth Proportional to 339,467.41, 509,296.41 and 99,586.97

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Solution

The fourth proportional to 339,467.41, 509,296.41 and 99,586.97 is: 149,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,467.41 : 509,296.41 = 99,586.97 : x
  2. Step 2: Convert to fraction form
    339,467.41/509,296.41 = 99,586.97/x
  3. Step 3: Cross multiply
    339,467.41x = 509,296.41 × 99,586.97
  4. Step 4: Simplify right side
    339,467.41x = 50,719,285,667.16
  5. Step 5: Solve for x
    x = 50,719,285,667.16/339,467.41
  6. Step 6: Final answer
    x = 149,408.41

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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.