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Finding the Fourth Proportional to 416,631.56, 624,976.71 and 206,213

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Solution

The fourth proportional to 416,631.56, 624,976.71 and 206,213 is: 309,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,631.56 : 624,976.71 = 206,213 : x
  2. Step 2: Convert to fraction form
    416,631.56/624,976.71 = 206,213/x
  3. Step 3: Cross multiply
    416,631.56x = 624,976.71 × 206,213
  4. Step 4: Simplify right side
    416,631.56x = 128,878,321,268.17
  5. Step 5: Solve for x
    x = 128,878,321,268.17/416,631.56
  6. Step 6: Final answer
    x = 309,334.03

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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.