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Finding the Fourth Proportional to 397,725.78, 548,861.67 and 218,877.78

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Solution

The fourth proportional to 397,725.78, 548,861.67 and 218,877.78 is: 302,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,725.78 : 548,861.67 = 218,877.78 : x
  2. Step 2: Convert to fraction form
    397,725.78/548,861.67 = 218,877.78/x
  3. Step 3: Cross multiply
    397,725.78x = 548,861.67 × 218,877.78
  4. Step 4: Simplify right side
    397,725.78x = 120,133,623,856.69
  5. Step 5: Solve for x
    x = 120,133,623,856.69/397,725.78
  6. Step 6: Final answer
    x = 302,051.39

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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.