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Finding the Fourth Proportional to 409,023.92, 613,249.81 and 181,208.59

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Solution

The fourth proportional to 409,023.92, 613,249.81 and 181,208.59 is: 271,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,023.92 : 613,249.81 = 181,208.59 : x
  2. Step 2: Convert to fraction form
    409,023.92/613,249.81 = 181,208.59/x
  3. Step 3: Cross multiply
    409,023.92x = 613,249.81 × 181,208.59
  4. Step 4: Simplify right side
    409,023.92x = 111,126,133,387.87
  5. Step 5: Solve for x
    x = 111,126,133,387.87/409,023.92
  6. Step 6: Final answer
    x = 271,686.15

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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.