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Finding the Fourth Proportional to 323,664.84, 446,449 and 214,766.80

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Solution

The fourth proportional to 323,664.84, 446,449 and 214,766.80 is: 296,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,664.84 : 446,449 = 214,766.80 : x
  2. Step 2: Convert to fraction form
    323,664.84/446,449 = 214,766.80/x
  3. Step 3: Cross multiply
    323,664.84x = 446,449 × 214,766.80
  4. Step 4: Simplify right side
    323,664.84x = 95,882,423,093.20
  5. Step 5: Solve for x
    x = 95,882,423,093.20/323,664.84
  6. Step 6: Final answer
    x = 296,239.85

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1.5x scale

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.