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Finding the Fourth Proportional to 323,227.05, 446,049.03 and 178,030.02

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Solution

The fourth proportional to 323,227.05, 446,049.03 and 178,030.02 is: 245,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,227.05 : 446,049.03 = 178,030.02 : x
  2. Step 2: Convert to fraction form
    323,227.05/446,049.03 = 178,030.02/x
  3. Step 3: Cross multiply
    323,227.05x = 446,049.03 × 178,030.02
  4. Step 4: Simplify right side
    323,227.05x = 79,410,117,731.88
  5. Step 5: Solve for x
    x = 79,410,117,731.88/323,227.05
  6. Step 6: Final answer
    x = 245,679.06

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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.