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Finding the Fourth Proportional to 533,321.82, 735,958.31 and 303,932.86

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Solution

The fourth proportional to 533,321.82, 735,958.31 and 303,932.86 is: 419,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,321.82 : 735,958.31 = 303,932.86 : x
  2. Step 2: Convert to fraction form
    533,321.82/735,958.31 = 303,932.86/x
  3. Step 3: Cross multiply
    533,321.82x = 735,958.31 × 303,932.86
  4. Step 4: Simplify right side
    533,321.82x = 223,681,910,639.51
  5. Step 5: Solve for x
    x = 223,681,910,639.51/533,321.82
  6. Step 6: Final answer
    x = 419,412.64

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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.