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Finding the Fourth Proportional to 299,092.38, 447,584.69 and 186,825.47

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Solution

The fourth proportional to 299,092.38, 447,584.69 and 186,825.47 is: 279,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,092.38 : 447,584.69 = 186,825.47 : x
  2. Step 2: Convert to fraction form
    299,092.38/447,584.69 = 186,825.47/x
  3. Step 3: Cross multiply
    299,092.38x = 447,584.69 × 186,825.47
  4. Step 4: Simplify right side
    299,092.38x = 83,620,216,902.00
  5. Step 5: Solve for x
    x = 83,620,216,902.00/299,092.38
  6. Step 6: Final answer
    x = 279,579.90

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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.