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Finding the Fourth Proportional to 329,410.56, 454,586.82 and 178,507.56

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Solution

The fourth proportional to 329,410.56, 454,586.82 and 178,507.56 is: 246,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,410.56 : 454,586.82 = 178,507.56 : x
  2. Step 2: Convert to fraction form
    329,410.56/454,586.82 = 178,507.56/x
  3. Step 3: Cross multiply
    329,410.56x = 454,586.82 × 178,507.56
  4. Step 4: Simplify right side
    329,410.56x = 81,147,184,046.36
  5. Step 5: Solve for x
    x = 81,147,184,046.36/329,410.56
  6. Step 6: Final answer
    x = 246,340.57

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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.