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Finding the Fourth Proportional to 416,629.44, 574,984 and 235,374.60

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Solution

The fourth proportional to 416,629.44, 574,984 and 235,374.60 is: 324,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,629.44 : 574,984 = 235,374.60 : x
  2. Step 2: Convert to fraction form
    416,629.44/574,984 = 235,374.60/x
  3. Step 3: Cross multiply
    416,629.44x = 574,984 × 235,374.60
  4. Step 4: Simplify right side
    416,629.44x = 135,336,629,006.40
  5. Step 5: Solve for x
    x = 135,336,629,006.40/416,629.44
  6. Step 6: Final answer
    x = 324,836.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.