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Finding the Fourth Proportional to 414,480.38, 571,982.92 and 235,632.38

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Solution

The fourth proportional to 414,480.38, 571,982.92 and 235,632.38 is: 325,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,480.38 : 571,982.92 = 235,632.38 : x
  2. Step 2: Convert to fraction form
    414,480.38/571,982.92 = 235,632.38/x
  3. Step 3: Cross multiply
    414,480.38x = 571,982.92 × 235,632.38
  4. Step 4: Simplify right side
    414,480.38x = 134,777,693,309.95
  5. Step 5: Solve for x
    x = 134,777,693,309.95/414,480.38
  6. Step 6: Final answer
    x = 325,172.68

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Why These Related Problems?

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