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Finding the Fourth Proportional to 256,749.55, 383,243.20 and 226,449.12

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Solution

The fourth proportional to 256,749.55, 383,243.20 and 226,449.12 is: 338,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,749.55 : 383,243.20 = 226,449.12 : x
  2. Step 2: Convert to fraction form
    256,749.55/383,243.20 = 226,449.12/x
  3. Step 3: Cross multiply
    256,749.55x = 383,243.20 × 226,449.12
  4. Step 4: Simplify right side
    256,749.55x = 86,785,084,101.28
  5. Step 5: Solve for x
    x = 86,785,084,101.28/256,749.55
  6. Step 6: Final answer
    x = 338,014.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.