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Finding the Fourth Proportional to 386,310.14, 533,219.10 and 233,324.03

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Solution

The fourth proportional to 386,310.14, 533,219.10 and 233,324.03 is: 322,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,310.14 : 533,219.10 = 233,324.03 : x
  2. Step 2: Convert to fraction form
    386,310.14/533,219.10 = 233,324.03/x
  3. Step 3: Cross multiply
    386,310.14x = 533,219.10 × 233,324.03
  4. Step 4: Simplify right side
    386,310.14x = 124,412,829,284.97
  5. Step 5: Solve for x
    x = 124,412,829,284.97/386,310.14
  6. Step 6: Final answer
    x = 322,054.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.