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Finding the Fourth Proportional to 441,097.20, 661,645.80 and 254,473.20

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Solution

The fourth proportional to 441,097.20, 661,645.80 and 254,473.20 is: 381,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,097.20 : 661,645.80 = 254,473.20 : x
  2. Step 2: Convert to fraction form
    441,097.20/661,645.80 = 254,473.20/x
  3. Step 3: Cross multiply
    441,097.20x = 661,645.80 × 254,473.20
  4. Step 4: Simplify right side
    441,097.20x = 168,371,123,992.56
  5. Step 5: Solve for x
    x = 168,371,123,992.56/441,097.20
  6. Step 6: Final answer
    x = 381,709.80

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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.