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Finding the Fourth Proportional to 416,245.60, 624,584.40 and 194,629.60

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Solution

The fourth proportional to 416,245.60, 624,584.40 and 194,629.60 is: 292,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.60 : 624,584.40 = 194,629.60 : x
  2. Step 2: Convert to fraction form
    416,245.60/624,584.40 = 194,629.60/x
  3. Step 3: Cross multiply
    416,245.60x = 624,584.40 × 194,629.60
  4. Step 4: Simplify right side
    416,245.60x = 121,562,611,938.24
  5. Step 5: Solve for x
    x = 121,562,611,938.24/416,245.60
  6. Step 6: Final answer
    x = 292,045.40

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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.