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Finding the Fourth Proportional to 533,631.40, 800,447.10 and 218,314.60

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Solution

The fourth proportional to 533,631.40, 800,447.10 and 218,314.60 is: 327,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,631.40 : 800,447.10 = 218,314.60 : x
  2. Step 2: Convert to fraction form
    533,631.40/800,447.10 = 218,314.60/x
  3. Step 3: Cross multiply
    533,631.40x = 800,447.10 × 218,314.60
  4. Step 4: Simplify right side
    533,631.40x = 174,749,288,457.66
  5. Step 5: Solve for x
    x = 174,749,288,457.66/533,631.40
  6. Step 6: Final answer
    x = 327,471.90

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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.