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Finding the Fourth Proportional to 284,958.72, 428,213.52 and 151,932.96

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Solution

The fourth proportional to 284,958.72, 428,213.52 and 151,932.96 is: 228,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,958.72 : 428,213.52 = 151,932.96 : x
  2. Step 2: Convert to fraction form
    284,958.72/428,213.52 = 151,932.96/x
  3. Step 3: Cross multiply
    284,958.72x = 428,213.52 × 151,932.96
  4. Step 4: Simplify right side
    284,958.72x = 65,059,747,605.62
  5. Step 5: Solve for x
    x = 65,059,747,605.62/284,958.72
  6. Step 6: Final answer
    x = 228,312.89

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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.