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Finding the Fourth Proportional to 273,383.20, 410,074.80 and 199,025.20

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Solution

The fourth proportional to 273,383.20, 410,074.80 and 199,025.20 is: 298,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,383.20 : 410,074.80 = 199,025.20 : x
  2. Step 2: Convert to fraction form
    273,383.20/410,074.80 = 199,025.20/x
  3. Step 3: Cross multiply
    273,383.20x = 410,074.80 × 199,025.20
  4. Step 4: Simplify right side
    273,383.20x = 81,615,219,084.96
  5. Step 5: Solve for x
    x = 81,615,219,084.96/273,383.20
  6. Step 6: Final answer
    x = 298,537.80

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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.