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Finding the Fourth Proportional to 321,165.96, 443,189.85 and 177,915.64

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Solution

The fourth proportional to 321,165.96, 443,189.85 and 177,915.64 is: 245,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,165.96 : 443,189.85 = 177,915.64 : x
  2. Step 2: Convert to fraction form
    321,165.96/443,189.85 = 177,915.64/x
  3. Step 3: Cross multiply
    321,165.96x = 443,189.85 × 177,915.64
  4. Step 4: Simplify right side
    321,165.96x = 78,850,406,361.24
  5. Step 5: Solve for x
    x = 78,850,406,361.24/321,165.96
  6. Step 6: Final answer
    x = 245,512.96

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1.5x scale

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.