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Finding the Fourth Proportional to 323,227.06, 446,049.02 and 178,030.02

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Solution

The fourth proportional to 323,227.06, 446,049.02 and 178,030.02 is: 245,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,227.06 : 446,049.02 = 178,030.02 : x
  2. Step 2: Convert to fraction form
    323,227.06/446,049.02 = 178,030.02/x
  3. Step 3: Cross multiply
    323,227.06x = 446,049.02 × 178,030.02
  4. Step 4: Simplify right side
    323,227.06x = 79,410,115,951.58
  5. Step 5: Solve for x
    x = 79,410,115,951.58/323,227.06
  6. Step 6: Final answer
    x = 245,679.05

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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.