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Finding the Fourth Proportional to 645,892.44, 968,888.10 and 196,651.62

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Solution

The fourth proportional to 645,892.44, 968,888.10 and 196,651.62 is: 294,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,892.44 : 968,888.10 = 196,651.62 : x
  2. Step 2: Convert to fraction form
    645,892.44/968,888.10 = 196,651.62/x
  3. Step 3: Cross multiply
    645,892.44x = 968,888.10 × 196,651.62
  4. Step 4: Simplify right side
    645,892.44x = 190,533,414,463.72
  5. Step 5: Solve for x
    x = 190,533,414,463.72/645,892.44
  6. Step 6: Final answer
    x = 294,992.48

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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.