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Finding the Fourth Proportional to 373,882.44, 515,938.24 and 204,083.76

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Solution

The fourth proportional to 373,882.44, 515,938.24 and 204,083.76 is: 281,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,882.44 : 515,938.24 = 204,083.76 : x
  2. Step 2: Convert to fraction form
    373,882.44/515,938.24 = 204,083.76/x
  3. Step 3: Cross multiply
    373,882.44x = 515,938.24 × 204,083.76
  4. Step 4: Simplify right side
    373,882.44x = 105,294,615,946.98
  5. Step 5: Solve for x
    x = 105,294,615,946.98/373,882.44
  6. Step 6: Final answer
    x = 281,624.93

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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.