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Finding the Fourth Proportional to 303,805.81, 419,239.29 and 174,734.52

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Solution

The fourth proportional to 303,805.81, 419,239.29 and 174,734.52 is: 241,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,805.81 : 419,239.29 = 174,734.52 : x
  2. Step 2: Convert to fraction form
    303,805.81/419,239.29 = 174,734.52/x
  3. Step 3: Cross multiply
    303,805.81x = 419,239.29 × 174,734.52
  4. Step 4: Simplify right side
    303,805.81x = 73,255,576,103.29
  5. Step 5: Solve for x
    x = 73,255,576,103.29/303,805.81
  6. Step 6: Final answer
    x = 241,126.32

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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.