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Finding the Fourth Proportional to 324,762.30, 487,447.20 and 164,952.54

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Solution

The fourth proportional to 324,762.30, 487,447.20 and 164,952.54 is: 247,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,762.30 : 487,447.20 = 164,952.54 : x
  2. Step 2: Convert to fraction form
    324,762.30/487,447.20 = 164,952.54/x
  3. Step 3: Cross multiply
    324,762.30x = 487,447.20 × 164,952.54
  4. Step 4: Simplify right side
    324,762.30x = 80,405,653,755.89
  5. Step 5: Solve for x
    x = 80,405,653,755.89/324,762.30
  6. Step 6: Final answer
    x = 247,583.09

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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.