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Finding the Fourth Proportional to 384,046.60, 576,069.90 and 321,838.60

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Solution

The fourth proportional to 384,046.60, 576,069.90 and 321,838.60 is: 482,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,046.60 : 576,069.90 = 321,838.60 : x
  2. Step 2: Convert to fraction form
    384,046.60/576,069.90 = 321,838.60/x
  3. Step 3: Cross multiply
    384,046.60x = 576,069.90 × 321,838.60
  4. Step 4: Simplify right side
    384,046.60x = 185,401,530,118.14
  5. Step 5: Solve for x
    x = 185,401,530,118.14/384,046.60
  6. Step 6: Final answer
    x = 482,757.90

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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.