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Finding the Fourth Proportional to 301,539.58, 416,039.70 and 194,171.74

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Solution

The fourth proportional to 301,539.58, 416,039.70 and 194,171.74 is: 267,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,539.58 : 416,039.70 = 194,171.74 : x
  2. Step 2: Convert to fraction form
    301,539.58/416,039.70 = 194,171.74/x
  3. Step 3: Cross multiply
    301,539.58x = 416,039.70 × 194,171.74
  4. Step 4: Simplify right side
    301,539.58x = 80,783,152,458.08
  5. Step 5: Solve for x
    x = 80,783,152,458.08/301,539.58
  6. Step 6: Final answer
    x = 267,902.32

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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.