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Finding the Fourth Proportional to 303,845.95, 419,222.10 and 174,777.67

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Solution

The fourth proportional to 303,845.95, 419,222.10 and 174,777.67 is: 241,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,845.95 : 419,222.10 = 174,777.67 : x
  2. Step 2: Convert to fraction form
    303,845.95/419,222.10 = 174,777.67/x
  3. Step 3: Cross multiply
    303,845.95x = 419,222.10 × 174,777.67
  4. Step 4: Simplify right side
    303,845.95x = 73,270,661,850.51
  5. Step 5: Solve for x
    x = 73,270,661,850.51/303,845.95
  6. Step 6: Final answer
    x = 241,144.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.