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Finding the Fourth Proportional to 416,096.40, 624,144.60 and 399,766.80

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Solution

The fourth proportional to 416,096.40, 624,144.60 and 399,766.80 is: 599,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,096.40 : 624,144.60 = 399,766.80 : x
  2. Step 2: Convert to fraction form
    416,096.40/624,144.60 = 399,766.80/x
  3. Step 3: Cross multiply
    416,096.40x = 624,144.60 × 399,766.80
  4. Step 4: Simplify right side
    416,096.40x = 249,512,289,479.28
  5. Step 5: Solve for x
    x = 249,512,289,479.28/416,096.40
  6. Step 6: Final answer
    x = 599,650.20

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Similar ratio
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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.