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Finding the Fourth Proportional to 477,203.72, 658,542.48 and 273,257.72

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Solution

The fourth proportional to 477,203.72, 658,542.48 and 273,257.72 is: 377,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,203.72 : 658,542.48 = 273,257.72 : x
  2. Step 2: Convert to fraction form
    477,203.72/658,542.48 = 273,257.72/x
  3. Step 3: Cross multiply
    477,203.72x = 658,542.48 × 273,257.72
  4. Step 4: Simplify right side
    477,203.72x = 179,951,816,607.95
  5. Step 5: Solve for x
    x = 179,951,816,607.95/477,203.72
  6. Step 6: Final answer
    x = 377,096.42

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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.