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Finding the Fourth Proportional to 416,641.08, 624,832.64 and 150,367.89

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Solution

The fourth proportional to 416,641.08, 624,832.64 and 150,367.89 is: 225,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,641.08 : 624,832.64 = 150,367.89 : x
  2. Step 2: Convert to fraction form
    416,641.08/624,832.64 = 150,367.89/x
  3. Step 3: Cross multiply
    416,641.08x = 624,832.64 × 150,367.89
  4. Step 4: Simplify right side
    416,641.08x = 93,954,764,928.09
  5. Step 5: Solve for x
    x = 93,954,764,928.09/416,641.08
  6. Step 6: Final answer
    x = 225,505.28

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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.