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Finding the Fourth Proportional to 533,577.68, 800,367.89 and 218,034.59

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Solution

The fourth proportional to 533,577.68, 800,367.89 and 218,034.59 is: 327,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,577.68 : 800,367.89 = 218,034.59 : x
  2. Step 2: Convert to fraction form
    533,577.68/800,367.89 = 218,034.59/x
  3. Step 3: Cross multiply
    533,577.68x = 800,367.89 × 218,034.59
  4. Step 4: Simplify right side
    533,577.68x = 174,507,879,653.30
  5. Step 5: Solve for x
    x = 174,507,879,653.30/533,577.68
  6. Step 6: Final answer
    x = 327,052.44

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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.