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Finding the Fourth Proportional to 470,512.22, 705,783.67 and 223,982.33

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Solution

The fourth proportional to 470,512.22, 705,783.67 and 223,982.33 is: 335,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,512.22 : 705,783.67 = 223,982.33 : x
  2. Step 2: Convert to fraction form
    470,512.22/705,783.67 = 223,982.33/x
  3. Step 3: Cross multiply
    470,512.22x = 705,783.67 × 223,982.33
  4. Step 4: Simplify right side
    470,512.22x = 158,083,066,793.68
  5. Step 5: Solve for x
    x = 158,083,066,793.68/470,512.22
  6. Step 6: Final answer
    x = 335,980.79

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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.