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Finding the Fourth Proportional to 416,563.74, 624,716.38 and 150,289.64

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Solution

The fourth proportional to 416,563.74, 624,716.38 and 150,289.64 is: 225,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,563.74 : 624,716.38 = 150,289.64 : x
  2. Step 2: Convert to fraction form
    416,563.74/624,716.38 = 150,289.64/x
  3. Step 3: Cross multiply
    416,563.74x = 624,716.38 × 150,289.64
  4. Step 4: Simplify right side
    416,563.74x = 93,888,399,852.30
  5. Step 5: Solve for x
    x = 93,888,399,852.30/416,563.74
  6. Step 6: Final answer
    x = 225,387.84

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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.