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Finding the Fourth Proportional to 416,199.60, 624,299.40 and 149,968.80

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Solution

The fourth proportional to 416,199.60, 624,299.40 and 149,968.80 is: 224,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,199.60 : 624,299.40 = 149,968.80 : x
  2. Step 2: Convert to fraction form
    416,199.60/624,299.40 = 149,968.80/x
  3. Step 3: Cross multiply
    416,199.60x = 624,299.40 × 149,968.80
  4. Step 4: Simplify right side
    416,199.60x = 93,625,431,858.72
  5. Step 5: Solve for x
    x = 93,625,431,858.72/416,199.60
  6. Step 6: Final answer
    x = 224,953.20

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1.5x scale

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.