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Finding the Fourth Proportional to 389,982.48, 584,857.48 and 165,339.31

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Solution

The fourth proportional to 389,982.48, 584,857.48 and 165,339.31 is: 247,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,982.48 : 584,857.48 = 165,339.31 : x
  2. Step 2: Convert to fraction form
    389,982.48/584,857.48 = 165,339.31/x
  3. Step 3: Cross multiply
    389,982.48x = 584,857.48 × 165,339.31
  4. Step 4: Simplify right side
    389,982.48x = 96,699,932,191.54
  5. Step 5: Solve for x
    x = 96,699,932,191.54/389,982.48
  6. Step 6: Final answer
    x = 247,959.68

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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.