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Finding the Fourth Proportional to 539,649.41, 809,462.99 and 179,846.37

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Solution

The fourth proportional to 539,649.41, 809,462.99 and 179,846.37 is: 269,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,649.41 : 809,462.99 = 179,846.37 : x
  2. Step 2: Convert to fraction form
    539,649.41/809,462.99 = 179,846.37/x
  3. Step 3: Cross multiply
    539,649.41x = 809,462.99 × 179,846.37
  4. Step 4: Simplify right side
    539,649.41x = 145,578,979,501.61
  5. Step 5: Solve for x
    x = 145,578,979,501.61/539,649.41
  6. Step 6: Final answer
    x = 269,765.85

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Why These Related Problems?

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