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Finding the Fourth Proportional to 533,769.90, 800,655.38 and 218,226.81

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Solution

The fourth proportional to 533,769.90, 800,655.38 and 218,226.81 is: 327,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,769.90 : 800,655.38 = 218,226.81 : x
  2. Step 2: Convert to fraction form
    533,769.90/800,655.38 = 218,226.81/x
  3. Step 3: Cross multiply
    533,769.90x = 800,655.38 × 218,226.81
  4. Step 4: Simplify right side
    533,769.90x = 174,724,468,395.60
  5. Step 5: Solve for x
    x = 174,724,468,395.60/533,769.90
  6. Step 6: Final answer
    x = 327,340.43

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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.