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Finding the Fourth Proportional to 416,284.56, 574,338.60 and 254,971.44

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Solution

The fourth proportional to 416,284.56, 574,338.60 and 254,971.44 is: 351,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,284.56 : 574,338.60 = 254,971.44 : x
  2. Step 2: Convert to fraction form
    416,284.56/574,338.60 = 254,971.44/x
  3. Step 3: Cross multiply
    416,284.56x = 574,338.60 × 254,971.44
  4. Step 4: Simplify right side
    416,284.56x = 146,439,939,889.58
  5. Step 5: Solve for x
    x = 146,439,939,889.58/416,284.56
  6. Step 6: Final answer
    x = 351,778.46

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