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Finding the Fourth Proportional to 324,699.50, 447,795.26 and 203,852.14

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Solution

The fourth proportional to 324,699.50, 447,795.26 and 203,852.14 is: 281,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,699.50 : 447,795.26 = 203,852.14 : x
  2. Step 2: Convert to fraction form
    324,699.50/447,795.26 = 203,852.14/x
  3. Step 3: Cross multiply
    324,699.50x = 447,795.26 × 203,852.14
  4. Step 4: Simplify right side
    324,699.50x = 91,284,022,032.86
  5. Step 5: Solve for x
    x = 91,284,022,032.86/324,699.50
  6. Step 6: Final answer
    x = 281,133.85

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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.