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Finding the Fourth Proportional to 313,443.75, 470,164.60 and 113,763.87

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Solution

The fourth proportional to 313,443.75, 470,164.60 and 113,763.87 is: 170,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,443.75 : 470,164.60 = 113,763.87 : x
  2. Step 2: Convert to fraction form
    313,443.75/470,164.60 = 113,763.87/x
  3. Step 3: Cross multiply
    313,443.75x = 470,164.60 × 113,763.87
  4. Step 4: Simplify right side
    313,443.75x = 53,487,744,433.00
  5. Step 5: Solve for x
    x = 53,487,744,433.00/313,443.75
  6. Step 6: Final answer
    x = 170,645.43

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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.