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Finding the Fourth Proportional to 284,414.56, 426,621.84 and 84,729.79

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Solution

The fourth proportional to 284,414.56, 426,621.84 and 84,729.79 is: 127,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,414.56 : 426,621.84 = 84,729.79 : x
  2. Step 2: Convert to fraction form
    284,414.56/426,621.84 = 84,729.79/x
  3. Step 3: Cross multiply
    284,414.56x = 426,621.84 × 84,729.79
  4. Step 4: Simplify right side
    284,414.56x = 36,147,578,912.61
  5. Step 5: Solve for x
    x = 36,147,578,912.61/284,414.56
  6. Step 6: Final answer
    x = 127,094.69

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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.