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Finding the Fourth Proportional to 645,414, 968,172.12 and 196,173.84

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Solution

The fourth proportional to 645,414, 968,172.12 and 196,173.84 is: 294,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,414 : 968,172.12 = 196,173.84 : x
  2. Step 2: Convert to fraction form
    645,414/968,172.12 = 196,173.84/x
  3. Step 3: Cross multiply
    645,414x = 968,172.12 × 196,173.84
  4. Step 4: Simplify right side
    645,414x = 189,930,042,561.34
  5. Step 5: Solve for x
    x = 189,930,042,561.34/645,414
  6. Step 6: Final answer
    x = 294,276.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.