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Finding the Fourth Proportional to 533,560.92, 800,342.74 and 218,017.82

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Solution

The fourth proportional to 533,560.92, 800,342.74 and 218,017.82 is: 327,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,560.92 : 800,342.74 = 218,017.82 : x
  2. Step 2: Convert to fraction form
    533,560.92/800,342.74 = 218,017.82/x
  3. Step 3: Cross multiply
    533,560.92x = 800,342.74 × 218,017.82
  4. Step 4: Simplify right side
    533,560.92x = 174,488,979,427.63
  5. Step 5: Solve for x
    x = 174,488,979,427.63/533,560.92
  6. Step 6: Final answer
    x = 327,027.29

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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.