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Finding the Fourth Proportional to 477,738.60, 716,608.44 and 122,755.56

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Solution

The fourth proportional to 477,738.60, 716,608.44 and 122,755.56 is: 184,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,738.60 : 716,608.44 = 122,755.56 : x
  2. Step 2: Convert to fraction form
    477,738.60/716,608.44 = 122,755.56/x
  3. Step 3: Cross multiply
    477,738.60x = 716,608.44 × 122,755.56
  4. Step 4: Simplify right side
    477,738.60x = 87,967,670,352.93
  5. Step 5: Solve for x
    x = 87,967,670,352.93/477,738.60
  6. Step 6: Final answer
    x = 184,133.48

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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.