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Finding the Fourth Proportional to 442,676.70, 664,101.45 and 189,956.70

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Solution

The fourth proportional to 442,676.70, 664,101.45 and 189,956.70 is: 284,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,676.70 : 664,101.45 = 189,956.70 : x
  2. Step 2: Convert to fraction form
    442,676.70/664,101.45 = 189,956.70/x
  3. Step 3: Cross multiply
    442,676.70x = 664,101.45 × 189,956.70
  4. Step 4: Simplify right side
    442,676.70x = 126,150,519,907.22
  5. Step 5: Solve for x
    x = 126,150,519,907.22/442,676.70
  6. Step 6: Final answer
    x = 284,972.13

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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.