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Finding the Fourth Proportional to 324,459.86, 447,749.89 and 181,221.94

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Solution

The fourth proportional to 324,459.86, 447,749.89 and 181,221.94 is: 250,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,459.86 : 447,749.89 = 181,221.94 : x
  2. Step 2: Convert to fraction form
    324,459.86/447,749.89 = 181,221.94/x
  3. Step 3: Cross multiply
    324,459.86x = 447,749.89 × 181,221.94
  4. Step 4: Simplify right side
    324,459.86x = 81,142,103,700.59
  5. Step 5: Solve for x
    x = 81,142,103,700.59/324,459.86
  6. Step 6: Final answer
    x = 250,083.64

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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.