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Finding the Fourth Proportional to 301,876.54, 416,591.87 and 165,912.80

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Solution

The fourth proportional to 301,876.54, 416,591.87 and 165,912.80 is: 228,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,876.54 : 416,591.87 = 165,912.80 : x
  2. Step 2: Convert to fraction form
    301,876.54/416,591.87 = 165,912.80/x
  3. Step 3: Cross multiply
    301,876.54x = 416,591.87 × 165,912.80
  4. Step 4: Simplify right side
    301,876.54x = 69,117,920,696.41
  5. Step 5: Solve for x
    x = 69,117,920,696.41/301,876.54
  6. Step 6: Final answer
    x = 228,960.89

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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.