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Finding the Fourth Proportional to 270,367.91, 405,547.46 and 110,408.70

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Solution

The fourth proportional to 270,367.91, 405,547.46 and 110,408.70 is: 165,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,367.91 : 405,547.46 = 110,408.70 : x
  2. Step 2: Convert to fraction form
    270,367.91/405,547.46 = 110,408.70/x
  3. Step 3: Cross multiply
    270,367.91x = 405,547.46 × 110,408.70
  4. Step 4: Simplify right side
    270,367.91x = 44,775,969,229.69
  5. Step 5: Solve for x
    x = 44,775,969,229.69/270,367.91
  6. Step 6: Final answer
    x = 165,611.26

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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.