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Finding the Fourth Proportional to 416,492.64, 624,738.96 and 100,949.55

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Solution

The fourth proportional to 416,492.64, 624,738.96 and 100,949.55 is: 151,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,492.64 : 624,738.96 = 100,949.55 : x
  2. Step 2: Convert to fraction form
    416,492.64/624,738.96 = 100,949.55/x
  3. Step 3: Cross multiply
    416,492.64x = 624,738.96 × 100,949.55
  4. Step 4: Simplify right side
    416,492.64x = 63,067,116,879.47
  5. Step 5: Solve for x
    x = 63,067,116,879.47/416,492.64
  6. Step 6: Final answer
    x = 151,424.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.