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Finding the Fourth Proportional to 416,287.42, 624,680.24 and 179,630.10

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Solution

The fourth proportional to 416,287.42, 624,680.24 and 179,630.10 is: 269,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,287.42 : 624,680.24 = 179,630.10 : x
  2. Step 2: Convert to fraction form
    416,287.42/624,680.24 = 179,630.10/x
  3. Step 3: Cross multiply
    416,287.42x = 624,680.24 × 179,630.10
  4. Step 4: Simplify right side
    416,287.42x = 112,211,373,979.22
  5. Step 5: Solve for x
    x = 112,211,373,979.22/416,287.42
  6. Step 6: Final answer
    x = 269,552.64

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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.