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Finding the Fourth Proportional to 214,296.73, 321,413.50 and 56,536.27

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Solution

The fourth proportional to 214,296.73, 321,413.50 and 56,536.27 is: 84,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,296.73 : 321,413.50 = 56,536.27 : x
  2. Step 2: Convert to fraction form
    214,296.73/321,413.50 = 56,536.27/x
  3. Step 3: Cross multiply
    214,296.73x = 321,413.50 × 56,536.27
  4. Step 4: Simplify right side
    214,296.73x = 18,171,520,417.65
  5. Step 5: Solve for x
    x = 18,171,520,417.65/214,296.73
  6. Step 6: Final answer
    x = 84,796.07

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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.