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Finding the Fourth Proportional to 290,683, 435,974.10 and 80,264.44

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Solution

The fourth proportional to 290,683, 435,974.10 and 80,264.44 is: 120,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,683 : 435,974.10 = 80,264.44 : x
  2. Step 2: Convert to fraction form
    290,683/435,974.10 = 80,264.44/x
  3. Step 3: Cross multiply
    290,683x = 435,974.10 × 80,264.44
  4. Step 4: Simplify right side
    290,683x = 34,993,216,991.00
  5. Step 5: Solve for x
    x = 34,993,216,991.00/290,683
  6. Step 6: Final answer
    x = 120,382.74

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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.