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Finding the Fourth Proportional to 416,489.82, 624,729.18 and 100,949.46

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Solution

The fourth proportional to 416,489.82, 624,729.18 and 100,949.46 is: 151,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,489.82 : 624,729.18 = 100,949.46 : x
  2. Step 2: Convert to fraction form
    416,489.82/624,729.18 = 100,949.46/x
  3. Step 3: Cross multiply
    416,489.82x = 624,729.18 × 100,949.46
  4. Step 4: Simplify right side
    416,489.82x = 63,066,073,367.24
  5. Step 5: Solve for x
    x = 63,066,073,367.24/416,489.82
  6. Step 6: Final answer
    x = 151,422.84

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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.