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Finding the Fourth Proportional to 416,538.52, 574,824.94 and 235,252.62

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Solution

The fourth proportional to 416,538.52, 574,824.94 and 235,252.62 is: 324,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,538.52 : 574,824.94 = 235,252.62 : x
  2. Step 2: Convert to fraction form
    416,538.52/574,824.94 = 235,252.62/x
  3. Step 3: Cross multiply
    416,538.52x = 574,824.94 × 235,252.62
  4. Step 4: Simplify right side
    416,538.52x = 135,229,072,588.21
  5. Step 5: Solve for x
    x = 135,229,072,588.21/416,538.52
  6. Step 6: Final answer
    x = 324,649.62

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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.