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Finding the Fourth Proportional to 303,884.92, 419,293.83 and 174,815.47

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Solution

The fourth proportional to 303,884.92, 419,293.83 and 174,815.47 is: 241,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,884.92 : 419,293.83 = 174,815.47 : x
  2. Step 2: Convert to fraction form
    303,884.92/419,293.83 = 174,815.47/x
  3. Step 3: Cross multiply
    303,884.92x = 419,293.83 × 174,815.47
  4. Step 4: Simplify right side
    303,884.92x = 73,299,047,959.55
  5. Step 5: Solve for x
    x = 73,299,047,959.55/303,884.92
  6. Step 6: Final answer
    x = 241,206.60

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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.