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Finding the Fourth Proportional to 301,853.76, 416,557.89 and 165,896.43

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Solution

The fourth proportional to 301,853.76, 416,557.89 and 165,896.43 is: 228,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,853.76 : 416,557.89 = 165,896.43 : x
  2. Step 2: Convert to fraction form
    301,853.76/416,557.89 = 165,896.43/x
  3. Step 3: Cross multiply
    301,853.76x = 416,557.89 × 165,896.43
  4. Step 4: Simplify right side
    301,853.76x = 69,105,466,839.33
  5. Step 5: Solve for x
    x = 69,105,466,839.33/301,853.76
  6. Step 6: Final answer
    x = 228,936.91

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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.