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Finding the Fourth Proportional to 407,062.71, 561,781.17 and 225,833.04

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Solution

The fourth proportional to 407,062.71, 561,781.17 and 225,833.04 is: 311,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,062.71 : 561,781.17 = 225,833.04 : x
  2. Step 2: Convert to fraction form
    407,062.71/561,781.17 = 225,833.04/x
  3. Step 3: Cross multiply
    407,062.71x = 561,781.17 × 225,833.04
  4. Step 4: Simplify right side
    407,062.71x = 126,868,749,435.86
  5. Step 5: Solve for x
    x = 126,868,749,435.86/407,062.71
  6. Step 6: Final answer
    x = 311,668.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.