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Finding the Fourth Proportional to 256,722.80, 384,047.40 and 222,047.60

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Solution

The fourth proportional to 256,722.80, 384,047.40 and 222,047.60 is: 332,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.80 : 384,047.40 = 222,047.60 : x
  2. Step 2: Convert to fraction form
    256,722.80/384,047.40 = 222,047.60/x
  3. Step 3: Cross multiply
    256,722.80x = 384,047.40 × 222,047.60
  4. Step 4: Simplify right side
    256,722.80x = 85,276,803,456.24
  5. Step 5: Solve for x
    x = 85,276,803,456.24/256,722.80
  6. Step 6: Final answer
    x = 332,174.64

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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.