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Finding the Fourth Proportional to 289,306.44, 399,277 and 161,957.44

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Solution

The fourth proportional to 289,306.44, 399,277 and 161,957.44 is: 223,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,306.44 : 399,277 = 161,957.44 : x
  2. Step 2: Convert to fraction form
    289,306.44/399,277 = 161,957.44/x
  3. Step 3: Cross multiply
    289,306.44x = 399,277 × 161,957.44
  4. Step 4: Simplify right side
    289,306.44x = 64,665,880,770.88
  5. Step 5: Solve for x
    x = 64,665,880,770.88/289,306.44
  6. Step 6: Final answer
    x = 223,520.36

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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.