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Finding the Fourth Proportional to 358,582.91, 494,846.22 and 205,626.86

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Solution

The fourth proportional to 358,582.91, 494,846.22 and 205,626.86 is: 283,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,582.91 : 494,846.22 = 205,626.86 : x
  2. Step 2: Convert to fraction form
    358,582.91/494,846.22 = 205,626.86/x
  3. Step 3: Cross multiply
    358,582.91x = 494,846.22 × 205,626.86
  4. Step 4: Simplify right side
    358,582.91x = 101,753,677,337.52
  5. Step 5: Solve for x
    x = 101,753,677,337.52/358,582.91
  6. Step 6: Final answer
    x = 283,766.11

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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.