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Finding the Fourth Proportional to 416,286.42, 624,678.74 and 179,629.10

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Solution

The fourth proportional to 416,286.42, 624,678.74 and 179,629.10 is: 269,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,286.42 : 624,678.74 = 179,629.10 : x
  2. Step 2: Convert to fraction form
    416,286.42/624,678.74 = 179,629.10/x
  3. Step 3: Cross multiply
    416,286.42x = 624,678.74 × 179,629.10
  4. Step 4: Simplify right side
    416,286.42x = 112,210,479,855.33
  5. Step 5: Solve for x
    x = 112,210,479,855.33/416,286.42
  6. Step 6: Final answer
    x = 269,551.14

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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.