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Finding the Fourth Proportional to 411,379.48, 616,972.33 and 231,541.44

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Solution

The fourth proportional to 411,379.48, 616,972.33 and 231,541.44 is: 347,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,379.48 : 616,972.33 = 231,541.44 : x
  2. Step 2: Convert to fraction form
    411,379.48/616,972.33 = 231,541.44/x
  3. Step 3: Cross multiply
    411,379.48x = 616,972.33 × 231,541.44
  4. Step 4: Simplify right side
    411,379.48x = 142,854,662,090.58
  5. Step 5: Solve for x
    x = 142,854,662,090.58/411,379.48
  6. Step 6: Final answer
    x = 347,257.63

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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.