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Finding the Fourth Proportional to 313,781.96, 470,524.80 and 113,961.44

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Solution

The fourth proportional to 313,781.96, 470,524.80 and 113,961.44 is: 170,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,781.96 : 470,524.80 = 113,961.44 : x
  2. Step 2: Convert to fraction form
    313,781.96/470,524.80 = 113,961.44/x
  3. Step 3: Cross multiply
    313,781.96x = 470,524.80 × 113,961.44
  4. Step 4: Simplify right side
    313,781.96x = 53,621,683,763.71
  5. Step 5: Solve for x
    x = 53,621,683,763.71/313,781.96
  6. Step 6: Final answer
    x = 170,888.36

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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.