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Finding the Fourth Proportional to 920,997, 1,381,573.26 and 256,149

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Solution

The fourth proportional to 920,997, 1,381,573.26 and 256,149 is: 384,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,997 : 1,381,573.26 = 256,149 : x
  2. Step 2: Convert to fraction form
    920,997/1,381,573.26 = 256,149/x
  3. Step 3: Cross multiply
    920,997x = 1,381,573.26 × 256,149
  4. Step 4: Simplify right side
    920,997x = 353,888,608,975.74
  5. Step 5: Solve for x
    x = 353,888,608,975.74/920,997
  6. Step 6: Final answer
    x = 384,245.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.