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Finding the Fourth Proportional to 380,580.36, 524,703 and 327,436.24

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Solution

The fourth proportional to 380,580.36, 524,703 and 327,436.24 is: 451,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,580.36 : 524,703 = 327,436.24 : x
  2. Step 2: Convert to fraction form
    380,580.36/524,703 = 327,436.24/x
  3. Step 3: Cross multiply
    380,580.36x = 524,703 × 327,436.24
  4. Step 4: Simplify right side
    380,580.36x = 171,806,777,436.72
  5. Step 5: Solve for x
    x = 171,806,777,436.72/380,580.36
  6. Step 6: Final answer
    x = 451,433.64

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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.