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Finding the Fourth Proportional to 297,908.10, 445,825.35 and 204,596.10

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Solution

The fourth proportional to 297,908.10, 445,825.35 and 204,596.10 is: 306,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,908.10 : 445,825.35 = 204,596.10 : x
  2. Step 2: Convert to fraction form
    297,908.10/445,825.35 = 204,596.10/x
  3. Step 3: Cross multiply
    297,908.10x = 445,825.35 × 204,596.10
  4. Step 4: Simplify right side
    297,908.10x = 91,214,127,891.14
  5. Step 5: Solve for x
    x = 91,214,127,891.14/297,908.10
  6. Step 6: Final answer
    x = 306,182.10

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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.