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Finding the Fourth Proportional to 654,409.44, 981,635.92 and 181,055.12

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Solution

The fourth proportional to 654,409.44, 981,635.92 and 181,055.12 is: 271,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,409.44 : 981,635.92 = 181,055.12 : x
  2. Step 2: Convert to fraction form
    654,409.44/981,635.92 = 181,055.12/x
  3. Step 3: Cross multiply
    654,409.44x = 981,635.92 × 181,055.12
  4. Step 4: Simplify right side
    654,409.44x = 177,730,209,291.91
  5. Step 5: Solve for x
    x = 177,730,209,291.91/654,409.44
  6. Step 6: Final answer
    x = 271,588.70

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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.