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Finding the Fourth Proportional to 474,424.38, 654,976.32 and 313,745.49

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Solution

The fourth proportional to 474,424.38, 654,976.32 and 313,745.49 is: 433,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,424.38 : 654,976.32 = 313,745.49 : x
  2. Step 2: Convert to fraction form
    474,424.38/654,976.32 = 313,745.49/x
  3. Step 3: Cross multiply
    474,424.38x = 654,976.32 × 313,745.49
  4. Step 4: Simplify right side
    474,424.38x = 205,495,866,456.80
  5. Step 5: Solve for x
    x = 205,495,866,456.80/474,424.38
  6. Step 6: Final answer
    x = 433,147.78

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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.