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Finding the Fourth Proportional to 304,308.33, 419,804.00 and 196,913.07

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Solution

The fourth proportional to 304,308.33, 419,804.00 and 196,913.07 is: 271,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,308.33 : 419,804.00 = 196,913.07 : x
  2. Step 2: Convert to fraction form
    304,308.33/419,804.00 = 196,913.07/x
  3. Step 3: Cross multiply
    304,308.33x = 419,804.00 × 196,913.07
  4. Step 4: Simplify right side
    304,308.33x = 82,664,893,453.71
  5. Step 5: Solve for x
    x = 82,664,893,453.71/304,308.33
  6. Step 6: Final answer
    x = 271,648.47

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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.