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Finding the Fourth Proportional to 645,892.26, 968,872.41 and 196,578.78

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Solution

The fourth proportional to 645,892.26, 968,872.41 and 196,578.78 is: 294,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,892.26 : 968,872.41 = 196,578.78 : x
  2. Step 2: Convert to fraction form
    645,892.26/968,872.41 = 196,578.78/x
  3. Step 3: Cross multiply
    645,892.26x = 968,872.41 × 196,578.78
  4. Step 4: Simplify right side
    645,892.26x = 190,459,756,333.46
  5. Step 5: Solve for x
    x = 190,459,756,333.46/645,892.26
  6. Step 6: Final answer
    x = 294,878.52

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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.