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Finding the Fourth Proportional to 654,471.69, 981,729 and 181,117.41

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Solution

The fourth proportional to 654,471.69, 981,729 and 181,117.41 is: 271,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,471.69 : 981,729 = 181,117.41 : x
  2. Step 2: Convert to fraction form
    654,471.69/981,729 = 181,117.41/x
  3. Step 3: Cross multiply
    654,471.69x = 981,729 × 181,117.41
  4. Step 4: Simplify right side
    654,471.69x = 177,808,213,801.89
  5. Step 5: Solve for x
    x = 177,808,213,801.89/654,471.69
  6. Step 6: Final answer
    x = 271,682.06

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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.