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Finding the Fourth Proportional to 297,846.30, 446,769.45 and 264,020.70

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Solution

The fourth proportional to 297,846.30, 446,769.45 and 264,020.70 is: 396,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,846.30 : 446,769.45 = 264,020.70 : x
  2. Step 2: Convert to fraction form
    297,846.30/446,769.45 = 264,020.70/x
  3. Step 3: Cross multiply
    297,846.30x = 446,769.45 × 264,020.70
  4. Step 4: Simplify right side
    297,846.30x = 117,956,382,927.62
  5. Step 5: Solve for x
    x = 117,956,382,927.62/297,846.30
  6. Step 6: Final answer
    x = 396,031.05

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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.