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Finding the Fourth Proportional to 295,957.46, 408,532.36 and 193,989.49

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Solution

The fourth proportional to 295,957.46, 408,532.36 and 193,989.49 is: 267,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,957.46 : 408,532.36 = 193,989.49 : x
  2. Step 2: Convert to fraction form
    295,957.46/408,532.36 = 193,989.49/x
  3. Step 3: Cross multiply
    295,957.46x = 408,532.36 × 193,989.49
  4. Step 4: Simplify right side
    295,957.46x = 79,250,984,164.90
  5. Step 5: Solve for x
    x = 79,250,984,164.90/295,957.46
  6. Step 6: Final answer
    x = 267,778.30

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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.