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Finding the Fourth Proportional to 284,930.82, 427,018.70 and 151,523.82

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Solution

The fourth proportional to 284,930.82, 427,018.70 and 151,523.82 is: 227,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,930.82 : 427,018.70 = 151,523.82 : x
  2. Step 2: Convert to fraction form
    284,930.82/427,018.70 = 151,523.82/x
  3. Step 3: Cross multiply
    284,930.82x = 427,018.70 × 151,523.82
  4. Step 4: Simplify right side
    284,930.82x = 64,703,504,635.43
  5. Step 5: Solve for x
    x = 64,703,504,635.43/284,930.82
  6. Step 6: Final answer
    x = 227,084.96

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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.