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Finding the Fourth Proportional to 323,459.82, 446,377.65 and 178,270.88

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Solution

The fourth proportional to 323,459.82, 446,377.65 and 178,270.88 is: 246,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,459.82 : 446,377.65 = 178,270.88 : x
  2. Step 2: Convert to fraction form
    323,459.82/446,377.65 = 178,270.88/x
  3. Step 3: Cross multiply
    323,459.82x = 446,377.65 × 178,270.88
  4. Step 4: Simplify right side
    323,459.82x = 79,576,134,245.94
  5. Step 5: Solve for x
    x = 79,576,134,245.94/323,459.82
  6. Step 6: Final answer
    x = 246,015.52

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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.