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Finding the Fourth Proportional to 467,067.92, 700,830.84 and 289,527.92

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Solution

The fourth proportional to 467,067.92, 700,830.84 and 289,527.92 is: 434,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,067.92 : 700,830.84 = 289,527.92 : x
  2. Step 2: Convert to fraction form
    467,067.92/700,830.84 = 289,527.92/x
  3. Step 3: Cross multiply
    467,067.92x = 700,830.84 × 289,527.92
  4. Step 4: Simplify right side
    467,067.92x = 202,910,095,377.05
  5. Step 5: Solve for x
    x = 202,910,095,377.05/467,067.92
  6. Step 6: Final answer
    x = 434,433.81

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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.