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Finding the Fourth Proportional to 416,076.80, 624,115.20 and 367,865.60

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Solution

The fourth proportional to 416,076.80, 624,115.20 and 367,865.60 is: 551,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.80 : 624,115.20 = 367,865.60 : x
  2. Step 2: Convert to fraction form
    416,076.80/624,115.20 = 367,865.60/x
  3. Step 3: Cross multiply
    416,076.80x = 624,115.20 × 367,865.60
  4. Step 4: Simplify right side
    416,076.80x = 229,590,512,517.12
  5. Step 5: Solve for x
    x = 229,590,512,517.12/416,076.80
  6. Step 6: Final answer
    x = 551,798.40

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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.