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Finding the Fourth Proportional to 598,542.35, 897,963.91 and 172,078.97

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Solution

The fourth proportional to 598,542.35, 897,963.91 and 172,078.97 is: 258,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,542.35 : 897,963.91 = 172,078.97 : x
  2. Step 2: Convert to fraction form
    598,542.35/897,963.91 = 172,078.97/x
  3. Step 3: Cross multiply
    598,542.35x = 897,963.91 × 172,078.97
  4. Step 4: Simplify right side
    598,542.35x = 154,520,699,809.96
  5. Step 5: Solve for x
    x = 154,520,699,809.96/598,542.35
  6. Step 6: Final answer
    x = 258,161.68

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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.