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Finding the Fourth Proportional to 284,591.42, 426,122.13 and 216,800.49

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Solution

The fourth proportional to 284,591.42, 426,122.13 and 216,800.49 is: 324,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,591.42 : 426,122.13 = 216,800.49 : x
  2. Step 2: Convert to fraction form
    284,591.42/426,122.13 = 216,800.49/x
  3. Step 3: Cross multiply
    284,591.42x = 426,122.13 × 216,800.49
  4. Step 4: Simplify right side
    284,591.42x = 92,383,486,583.84
  5. Step 5: Solve for x
    x = 92,383,486,583.84/284,591.42
  6. Step 6: Final answer
    x = 324,617.96

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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.