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Finding the Fourth Proportional to 327,458.04, 451,954 and 205,007.38

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Solution

The fourth proportional to 327,458.04, 451,954 and 205,007.38 is: 282,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,458.04 : 451,954 = 205,007.38 : x
  2. Step 2: Convert to fraction form
    327,458.04/451,954 = 205,007.38/x
  3. Step 3: Cross multiply
    327,458.04x = 451,954 × 205,007.38
  4. Step 4: Simplify right side
    327,458.04x = 92,653,905,420.52
  5. Step 5: Solve for x
    x = 92,653,905,420.52/327,458.04
  6. Step 6: Final answer
    x = 282,948.94

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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.