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Finding the Fourth Proportional to 324,277.08, 447,448.96 and 181,014

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Solution

The fourth proportional to 324,277.08, 447,448.96 and 181,014 is: 249,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,277.08 : 447,448.96 = 181,014 : x
  2. Step 2: Convert to fraction form
    324,277.08/447,448.96 = 181,014/x
  3. Step 3: Cross multiply
    324,277.08x = 447,448.96 × 181,014
  4. Step 4: Simplify right side
    324,277.08x = 80,994,526,045.44
  5. Step 5: Solve for x
    x = 80,994,526,045.44/324,277.08
  6. Step 6: Final answer
    x = 249,769.51

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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.