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Finding the Fourth Proportional to 304,799.82, 457,287.21 and 199,488.48

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Solution

The fourth proportional to 304,799.82, 457,287.21 and 199,488.48 is: 299,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,799.82 : 457,287.21 = 199,488.48 : x
  2. Step 2: Convert to fraction form
    304,799.82/457,287.21 = 199,488.48/x
  3. Step 3: Cross multiply
    304,799.82x = 457,287.21 × 199,488.48
  4. Step 4: Simplify right side
    304,799.82x = 91,223,530,446.34
  5. Step 5: Solve for x
    x = 91,223,530,446.34/304,799.82
  6. Step 6: Final answer
    x = 299,289.97

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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.