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Finding the Fourth Proportional to 289,215.86, 434,489.79 and 205,184.66

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Solution

The fourth proportional to 289,215.86, 434,489.79 and 205,184.66 is: 308,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,215.86 : 434,489.79 = 205,184.66 : x
  2. Step 2: Convert to fraction form
    289,215.86/434,489.79 = 205,184.66/x
  3. Step 3: Cross multiply
    289,215.86x = 434,489.79 × 205,184.66
  4. Step 4: Simplify right side
    289,215.86x = 89,150,639,834.62
  5. Step 5: Solve for x
    x = 89,150,639,834.62/289,215.86
  6. Step 6: Final answer
    x = 308,249.48

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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.