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Finding the Fourth Proportional to 233,297.37, 350,367.62 and 214,542.81

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Solution

The fourth proportional to 233,297.37, 350,367.62 and 214,542.81 is: 322,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,297.37 : 350,367.62 = 214,542.81 : x
  2. Step 2: Convert to fraction form
    233,297.37/350,367.62 = 214,542.81/x
  3. Step 3: Cross multiply
    233,297.37x = 350,367.62 × 214,542.81
  4. Step 4: Simplify right side
    233,297.37x = 75,168,852,655.10
  5. Step 5: Solve for x
    x = 75,168,852,655.10/233,297.37
  6. Step 6: Final answer
    x = 322,201.89

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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.