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Finding the Fourth Proportional to 313,945.20, 470,917.80 and 114,490.80

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Solution

The fourth proportional to 313,945.20, 470,917.80 and 114,490.80 is: 171,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,945.20 : 470,917.80 = 114,490.80 : x
  2. Step 2: Convert to fraction form
    313,945.20/470,917.80 = 114,490.80/x
  3. Step 3: Cross multiply
    313,945.20x = 470,917.80 × 114,490.80
  4. Step 4: Simplify right side
    313,945.20x = 53,915,755,656.24
  5. Step 5: Solve for x
    x = 53,915,755,656.24/313,945.20
  6. Step 6: Final answer
    x = 171,736.20

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1.5x scale

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.