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Finding the Fourth Proportional to 324,002.10, 486,003.15 and 164,569.80

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Solution

The fourth proportional to 324,002.10, 486,003.15 and 164,569.80 is: 246,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,002.10 : 486,003.15 = 164,569.80 : x
  2. Step 2: Convert to fraction form
    324,002.10/486,003.15 = 164,569.80/x
  3. Step 3: Cross multiply
    324,002.10x = 486,003.15 × 164,569.80
  4. Step 4: Simplify right side
    324,002.10x = 79,981,441,194.87
  5. Step 5: Solve for x
    x = 79,981,441,194.87/324,002.10
  6. Step 6: Final answer
    x = 246,854.70

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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.