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Finding the Fourth Proportional to 258,324.52, 387,488.01 and 78,411.49

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Solution

The fourth proportional to 258,324.52, 387,488.01 and 78,411.49 is: 117,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,324.52 : 387,488.01 = 78,411.49 : x
  2. Step 2: Convert to fraction form
    258,324.52/387,488.01 = 78,411.49/x
  3. Step 3: Cross multiply
    258,324.52x = 387,488.01 × 78,411.49
  4. Step 4: Simplify right side
    258,324.52x = 30,383,512,221.23
  5. Step 5: Solve for x
    x = 30,383,512,221.23/258,324.52
  6. Step 6: Final answer
    x = 117,617.61

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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.