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Finding the Fourth Proportional to 299,813.84, 414,083.23 and 204,154.46

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Solution

The fourth proportional to 299,813.84, 414,083.23 and 204,154.46 is: 281,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.84 : 414,083.23 = 204,154.46 : x
  2. Step 2: Convert to fraction form
    299,813.84/414,083.23 = 204,154.46/x
  3. Step 3: Cross multiply
    299,813.84x = 414,083.23 × 204,154.46
  4. Step 4: Simplify right side
    299,813.84x = 84,536,935,634.90
  5. Step 5: Solve for x
    x = 84,536,935,634.90/299,813.84
  6. Step 6: Final answer
    x = 281,964.76

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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.