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Finding the Fourth Proportional to 646,297.68, 969,591.89 and 197,063.96

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Solution

The fourth proportional to 646,297.68, 969,591.89 and 197,063.96 is: 295,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,297.68 : 969,591.89 = 197,063.96 : x
  2. Step 2: Convert to fraction form
    646,297.68/969,591.89 = 197,063.96/x
  3. Step 3: Cross multiply
    646,297.68x = 969,591.89 × 197,063.96
  4. Step 4: Simplify right side
    646,297.68x = 191,071,617,427.28
  5. Step 5: Solve for x
    x = 191,071,617,427.28/646,297.68
  6. Step 6: Final answer
    x = 295,640.27

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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.