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Finding the Fourth Proportional to 310,183.60, 465,712.80 and 192,085.60

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Solution

The fourth proportional to 310,183.60, 465,712.80 and 192,085.60 is: 288,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,183.60 : 465,712.80 = 192,085.60 : x
  2. Step 2: Convert to fraction form
    310,183.60/465,712.80 = 192,085.60/x
  3. Step 3: Cross multiply
    310,183.60x = 465,712.80 × 192,085.60
  4. Step 4: Simplify right side
    310,183.60x = 89,456,722,615.68
  5. Step 5: Solve for x
    x = 89,456,722,615.68/310,183.60
  6. Step 6: Final answer
    x = 288,399.27

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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.