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Finding the Fourth Proportional to 323,460.82, 446,379.03 and 178,271.88

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Solution

The fourth proportional to 323,460.82, 446,379.03 and 178,271.88 is: 246,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,460.82 : 446,379.03 = 178,271.88 : x
  2. Step 2: Convert to fraction form
    323,460.82/446,379.03 = 178,271.88/x
  3. Step 3: Cross multiply
    323,460.82x = 446,379.03 × 178,271.88
  4. Step 4: Simplify right side
    323,460.82x = 79,576,828,870.68
  5. Step 5: Solve for x
    x = 79,576,828,870.68/323,460.82
  6. Step 6: Final answer
    x = 246,016.90

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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.