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Finding the Fourth Proportional to 331,713.78, 457,403.26 and 224,096.96

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Solution

The fourth proportional to 331,713.78, 457,403.26 and 224,096.96 is: 309,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,713.78 : 457,403.26 = 224,096.96 : x
  2. Step 2: Convert to fraction form
    331,713.78/457,403.26 = 224,096.96/x
  3. Step 3: Cross multiply
    331,713.78x = 457,403.26 × 224,096.96
  4. Step 4: Simplify right side
    331,713.78x = 102,502,680,060.09
  5. Step 5: Solve for x
    x = 102,502,680,060.09/331,713.78
  6. Step 6: Final answer
    x = 309,009.41

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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.