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Finding the Fourth Proportional to 296,805.42, 444,143.91 and 256,961.44

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Solution

The fourth proportional to 296,805.42, 444,143.91 and 256,961.44 is: 384,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,805.42 : 444,143.91 = 256,961.44 : x
  2. Step 2: Convert to fraction form
    296,805.42/444,143.91 = 256,961.44/x
  3. Step 3: Cross multiply
    296,805.42x = 444,143.91 × 256,961.44
  4. Step 4: Simplify right side
    296,805.42x = 114,127,858,680.83
  5. Step 5: Solve for x
    x = 114,127,858,680.83/296,805.42
  6. Step 6: Final answer
    x = 384,520.80

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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.