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Finding the Fourth Proportional to 290,508.57, 435,787.97 and 80,146.50

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Solution

The fourth proportional to 290,508.57, 435,787.97 and 80,146.50 is: 120,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,508.57 : 435,787.97 = 80,146.50 : x
  2. Step 2: Convert to fraction form
    290,508.57/435,787.97 = 80,146.50/x
  3. Step 3: Cross multiply
    290,508.57x = 435,787.97 × 80,146.50
  4. Step 4: Simplify right side
    290,508.57x = 34,926,882,179.63
  5. Step 5: Solve for x
    x = 34,926,882,179.63/290,508.57
  6. Step 6: Final answer
    x = 120,226.69

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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.