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Finding the Fourth Proportional to 414,084.19, 620,683.41 and 189,107.50

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Solution

The fourth proportional to 414,084.19, 620,683.41 and 189,107.50 is: 283,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,084.19 : 620,683.41 = 189,107.50 : x
  2. Step 2: Convert to fraction form
    414,084.19/620,683.41 = 189,107.50/x
  3. Step 3: Cross multiply
    414,084.19x = 620,683.41 × 189,107.50
  4. Step 4: Simplify right side
    414,084.19x = 117,375,887,956.58
  5. Step 5: Solve for x
    x = 117,375,887,956.58/414,084.19
  6. Step 6: Final answer
    x = 283,458.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.