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Finding the Fourth Proportional to 303,709.80, 419,200.59 and 174,662.38

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Solution

The fourth proportional to 303,709.80, 419,200.59 and 174,662.38 is: 241,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,709.80 : 419,200.59 = 174,662.38 : x
  2. Step 2: Convert to fraction form
    303,709.80/419,200.59 = 174,662.38/x
  3. Step 3: Cross multiply
    303,709.80x = 419,200.59 × 174,662.38
  4. Step 4: Simplify right side
    303,709.80x = 73,218,571,076.55
  5. Step 5: Solve for x
    x = 73,218,571,076.55/303,709.80
  6. Step 6: Final answer
    x = 241,080.70

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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.