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Finding the Fourth Proportional to 380,585.34, 524,709.90 and 327,441.24

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Solution

The fourth proportional to 380,585.34, 524,709.90 and 327,441.24 is: 451,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,585.34 : 524,709.90 = 327,441.24 : x
  2. Step 2: Convert to fraction form
    380,585.34/524,709.90 = 327,441.24/x
  3. Step 3: Cross multiply
    380,585.34x = 524,709.90 × 327,441.24
  4. Step 4: Simplify right side
    380,585.34x = 171,811,660,296.28
  5. Step 5: Solve for x
    x = 171,811,660,296.28/380,585.34
  6. Step 6: Final answer
    x = 451,440.56

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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.