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Finding the Fourth Proportional to 269,016.70, 403,913.85 and 202,920.70

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Solution

The fourth proportional to 269,016.70, 403,913.85 and 202,920.70 is: 304,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,016.70 : 403,913.85 = 202,920.70 : x
  2. Step 2: Convert to fraction form
    269,016.70/403,913.85 = 202,920.70/x
  3. Step 3: Cross multiply
    269,016.70x = 403,913.85 × 202,920.70
  4. Step 4: Simplify right side
    269,016.70x = 81,962,481,181.70
  5. Step 5: Solve for x
    x = 81,962,481,181.70/269,016.70
  6. Step 6: Final answer
    x = 304,674.32

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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.