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Finding the Fourth Proportional to 294,944.38, 407,067.04 and 180,289.14

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Solution

The fourth proportional to 294,944.38, 407,067.04 and 180,289.14 is: 248,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,944.38 : 407,067.04 = 180,289.14 : x
  2. Step 2: Convert to fraction form
    294,944.38/407,067.04 = 180,289.14/x
  3. Step 3: Cross multiply
    294,944.38x = 407,067.04 × 180,289.14
  4. Step 4: Simplify right side
    294,944.38x = 73,389,766,563.95
  5. Step 5: Solve for x
    x = 73,389,766,563.95/294,944.38
  6. Step 6: Final answer
    x = 248,825.78

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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.