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Finding the Fourth Proportional to 313,771.86, 470,140.50 and 180,763.98

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Solution

The fourth proportional to 313,771.86, 470,140.50 and 180,763.98 is: 270,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,771.86 : 470,140.50 = 180,763.98 : x
  2. Step 2: Convert to fraction form
    313,771.86/470,140.50 = 180,763.98/x
  3. Step 3: Cross multiply
    313,771.86x = 470,140.50 × 180,763.98
  4. Step 4: Simplify right side
    313,771.86x = 84,984,467,939.19
  5. Step 5: Solve for x
    x = 84,984,467,939.19/313,771.86
  6. Step 6: Final answer
    x = 270,847.96

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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.