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Finding the Fourth Proportional to 409,072.28, 613,323.82 and 181,244.28

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Solution

The fourth proportional to 409,072.28, 613,323.82 and 181,244.28 is: 271,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,072.28 : 613,323.82 = 181,244.28 : x
  2. Step 2: Convert to fraction form
    409,072.28/613,323.82 = 181,244.28/x
  3. Step 3: Cross multiply
    409,072.28x = 613,323.82 × 181,244.28
  4. Step 4: Simplify right side
    409,072.28x = 111,161,435,669.77
  5. Step 5: Solve for x
    x = 111,161,435,669.77/409,072.28
  6. Step 6: Final answer
    x = 271,740.33

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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.