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Finding the Fourth Proportional to 465,949.37, 643,006.86 and 264,745.37

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Solution

The fourth proportional to 465,949.37, 643,006.86 and 264,745.37 is: 365,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,949.37 : 643,006.86 = 264,745.37 : x
  2. Step 2: Convert to fraction form
    465,949.37/643,006.86 = 264,745.37/x
  3. Step 3: Cross multiply
    465,949.37x = 643,006.86 × 264,745.37
  4. Step 4: Simplify right side
    465,949.37x = 170,233,085,848.20
  5. Step 5: Solve for x
    x = 170,233,085,848.20/465,949.37
  6. Step 6: Final answer
    x = 365,346.75

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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.