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Finding the Fourth Proportional to 274,027.60, 410,944.20 and 96,540.40

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Solution

The fourth proportional to 274,027.60, 410,944.20 and 96,540.40 is: 144,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,027.60 : 410,944.20 = 96,540.40 : x
  2. Step 2: Convert to fraction form
    274,027.60/410,944.20 = 96,540.40/x
  3. Step 3: Cross multiply
    274,027.60x = 410,944.20 × 96,540.40
  4. Step 4: Simplify right side
    274,027.60x = 39,672,717,445.68
  5. Step 5: Solve for x
    x = 39,672,717,445.68/274,027.60
  6. Step 6: Final answer
    x = 144,776.36

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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.