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Finding the Fourth Proportional to 644,175.36, 965,949.48 and 194,809.68

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Solution

The fourth proportional to 644,175.36, 965,949.48 and 194,809.68 is: 292,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,175.36 : 965,949.48 = 194,809.68 : x
  2. Step 2: Convert to fraction form
    644,175.36/965,949.48 = 194,809.68/x
  3. Step 3: Cross multiply
    644,175.36x = 965,949.48 × 194,809.68
  4. Step 4: Simplify right side
    644,175.36x = 188,176,309,094.97
  5. Step 5: Solve for x
    x = 188,176,309,094.97/644,175.36
  6. Step 6: Final answer
    x = 292,119.69

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