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Finding the Fourth Proportional to 645,763.86, 968,793.21 and 196,548.39

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Solution

The fourth proportional to 645,763.86, 968,793.21 and 196,548.39 is: 294,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,763.86 : 968,793.21 = 196,548.39 : x
  2. Step 2: Convert to fraction form
    645,763.86/968,793.21 = 196,548.39/x
  3. Step 3: Cross multiply
    645,763.86x = 968,793.21 × 196,548.39
  4. Step 4: Simplify right side
    645,763.86x = 190,414,745,668.43
  5. Step 5: Solve for x
    x = 190,414,745,668.43/645,763.86
  6. Step 6: Final answer
    x = 294,867.45

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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.