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Finding the Fourth Proportional to 381,638.40, 571,996.80 and 194,553.60

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Solution

The fourth proportional to 381,638.40, 571,996.80 and 194,553.60 is: 291,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,638.40 : 571,996.80 = 194,553.60 : x
  2. Step 2: Convert to fraction form
    381,638.40/571,996.80 = 194,553.60/x
  3. Step 3: Cross multiply
    381,638.40x = 571,996.80 × 194,553.60
  4. Step 4: Simplify right side
    381,638.40x = 111,284,036,628.48
  5. Step 5: Solve for x
    x = 111,284,036,628.48/381,638.40
  6. Step 6: Final answer
    x = 291,595.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.