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Finding the Fourth Proportional to 313,744.14, 470,408.10 and 114,040.80

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Solution

The fourth proportional to 313,744.14, 470,408.10 and 114,040.80 is: 170,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,744.14 : 470,408.10 = 114,040.80 : x
  2. Step 2: Convert to fraction form
    313,744.14/470,408.10 = 114,040.80/x
  3. Step 3: Cross multiply
    313,744.14x = 470,408.10 × 114,040.80
  4. Step 4: Simplify right side
    313,744.14x = 53,645,716,050.48
  5. Step 5: Solve for x
    x = 53,645,716,050.48/313,744.14
  6. Step 6: Final answer
    x = 170,985.56

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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.