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Finding the Fourth Proportional to 304,063.92, 419,620.04 and 201,913.25

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Solution

The fourth proportional to 304,063.92, 419,620.04 and 201,913.25 is: 278,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063.92 : 419,620.04 = 201,913.25 : x
  2. Step 2: Convert to fraction form
    304,063.92/419,620.04 = 201,913.25/x
  3. Step 3: Cross multiply
    304,063.92x = 419,620.04 × 201,913.25
  4. Step 4: Simplify right side
    304,063.92x = 84,726,844,448.21
  5. Step 5: Solve for x
    x = 84,726,844,448.21/304,063.92
  6. Step 6: Final answer
    x = 278,648.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.