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Finding the Fourth Proportional to 414,517.14, 572,033.64 and 235,669.14

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Solution

The fourth proportional to 414,517.14, 572,033.64 and 235,669.14 is: 325,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,517.14 : 572,033.64 = 235,669.14 : x
  2. Step 2: Convert to fraction form
    414,517.14/572,033.64 = 235,669.14/x
  3. Step 3: Cross multiply
    414,517.14x = 572,033.64 × 235,669.14
  4. Step 4: Simplify right side
    414,517.14x = 134,810,675,989.87
  5. Step 5: Solve for x
    x = 134,810,675,989.87/414,517.14
  6. Step 6: Final answer
    x = 325,223.41

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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.