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Finding the Fourth Proportional to 243,879.60, 365,819.40 and 204,513.60

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Solution

The fourth proportional to 243,879.60, 365,819.40 and 204,513.60 is: 306,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,879.60 : 365,819.40 = 204,513.60 : x
  2. Step 2: Convert to fraction form
    243,879.60/365,819.40 = 204,513.60/x
  3. Step 3: Cross multiply
    243,879.60x = 365,819.40 × 204,513.60
  4. Step 4: Simplify right side
    243,879.60x = 74,815,042,443.84
  5. Step 5: Solve for x
    x = 74,815,042,443.84/243,879.60
  6. Step 6: Final answer
    x = 306,770.40

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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.