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Finding the Fourth Proportional to 301,830.44, 416,535.69 and 165,876.95

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Solution

The fourth proportional to 301,830.44, 416,535.69 and 165,876.95 is: 228,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.44 : 416,535.69 = 165,876.95 : x
  2. Step 2: Convert to fraction form
    301,830.44/416,535.69 = 165,876.95/x
  3. Step 3: Cross multiply
    301,830.44x = 416,535.69 × 165,876.95
  4. Step 4: Simplify right side
    301,830.44x = 69,093,670,864.68
  5. Step 5: Solve for x
    x = 69,093,670,864.68/301,830.44
  6. Step 6: Final answer
    x = 228,915.51

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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.