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Finding the Fourth Proportional to 594,836.46, 820,880.22 and 322,906.50

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Solution

The fourth proportional to 594,836.46, 820,880.22 and 322,906.50 is: 445,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,836.46 : 820,880.22 = 322,906.50 : x
  2. Step 2: Convert to fraction form
    594,836.46/820,880.22 = 322,906.50/x
  3. Step 3: Cross multiply
    594,836.46x = 820,880.22 × 322,906.50
  4. Step 4: Simplify right side
    594,836.46x = 265,067,558,759.43
  5. Step 5: Solve for x
    x = 265,067,558,759.43/594,836.46
  6. Step 6: Final answer
    x = 445,614.18

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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.