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Finding the Fourth Proportional to 290,140.14, 400,290.75 and 189,596.46

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Solution

The fourth proportional to 290,140.14, 400,290.75 and 189,596.46 is: 261,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,140.14 : 400,290.75 = 189,596.46 : x
  2. Step 2: Convert to fraction form
    290,140.14/400,290.75 = 189,596.46/x
  3. Step 3: Cross multiply
    290,140.14x = 400,290.75 × 189,596.46
  4. Step 4: Simplify right side
    290,140.14x = 75,893,709,170.75
  5. Step 5: Solve for x
    x = 75,893,709,170.75/290,140.14
  6. Step 6: Final answer
    x = 261,576.04

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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.