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Finding the Fourth Proportional to 320,961.90, 443,388.79 and 256,346.30

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Solution

The fourth proportional to 320,961.90, 443,388.79 and 256,346.30 is: 354,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,961.90 : 443,388.79 = 256,346.30 : x
  2. Step 2: Convert to fraction form
    320,961.90/443,388.79 = 256,346.30/x
  3. Step 3: Cross multiply
    320,961.90x = 443,388.79 × 256,346.30
  4. Step 4: Simplify right side
    320,961.90x = 113,661,076,451.85
  5. Step 5: Solve for x
    x = 113,661,076,451.85/320,961.90
  6. Step 6: Final answer
    x = 354,126.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.