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Finding the Fourth Proportional to 324,763.30, 487,448.70 and 164,953.54

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Solution

The fourth proportional to 324,763.30, 487,448.70 and 164,953.54 is: 247,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,763.30 : 487,448.70 = 164,953.54 : x
  2. Step 2: Convert to fraction form
    324,763.30/487,448.70 = 164,953.54/x
  3. Step 3: Cross multiply
    324,763.30x = 487,448.70 × 164,953.54
  4. Step 4: Simplify right side
    324,763.30x = 80,406,388,633.40
  5. Step 5: Solve for x
    x = 80,406,388,633.40/324,763.30
  6. Step 6: Final answer
    x = 247,584.59

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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.