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Finding the Fourth Proportional to 654,407.34, 981,632.88 and 181,053.06

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Solution

The fourth proportional to 654,407.34, 981,632.88 and 181,053.06 is: 271,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,407.34 : 981,632.88 = 181,053.06 : x
  2. Step 2: Convert to fraction form
    654,407.34/981,632.88 = 181,053.06/x
  3. Step 3: Cross multiply
    654,407.34x = 981,632.88 × 181,053.06
  4. Step 4: Simplify right side
    654,407.34x = 177,727,636,720.61
  5. Step 5: Solve for x
    x = 177,727,636,720.61/654,407.34
  6. Step 6: Final answer
    x = 271,585.64

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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.