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Finding the Fourth Proportional to 468,768.44, 646,866.84 and 275,184

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Solution

The fourth proportional to 468,768.44, 646,866.84 and 275,184 is: 379,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,768.44 : 646,866.84 = 275,184 : x
  2. Step 2: Convert to fraction form
    468,768.44/646,866.84 = 275,184/x
  3. Step 3: Cross multiply
    468,768.44x = 646,866.84 × 275,184
  4. Step 4: Simplify right side
    468,768.44x = 178,007,404,498.56
  5. Step 5: Solve for x
    x = 178,007,404,498.56/468,768.44
  6. Step 6: Final answer
    x = 379,734.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.