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Finding the Fourth Proportional to 275,614.25, 412,699.66 and 180,545.36

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Solution

The fourth proportional to 275,614.25, 412,699.66 and 180,545.36 is: 270,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,614.25 : 412,699.66 = 180,545.36 : x
  2. Step 2: Convert to fraction form
    275,614.25/412,699.66 = 180,545.36/x
  3. Step 3: Cross multiply
    275,614.25x = 412,699.66 × 180,545.36
  4. Step 4: Simplify right side
    275,614.25x = 74,511,006,171.72
  5. Step 5: Solve for x
    x = 74,511,006,171.72/275,614.25
  6. Step 6: Final answer
    x = 270,345.27

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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.