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Finding the Fourth Proportional to 465,949.87, 643,007.56 and 264,745.87

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Solution

The fourth proportional to 465,949.87, 643,007.56 and 264,745.87 is: 365,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,949.87 : 643,007.56 = 264,745.87 : x
  2. Step 2: Convert to fraction form
    465,949.87/643,007.56 = 264,745.87/x
  3. Step 3: Cross multiply
    465,949.87x = 643,007.56 × 264,745.87
  4. Step 4: Simplify right side
    465,949.87x = 170,233,595,888.78
  5. Step 5: Solve for x
    x = 170,233,595,888.78/465,949.87
  6. Step 6: Final answer
    x = 365,347.45

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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.