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Finding the Fourth Proportional to 533,770.40, 800,656.12 and 218,227.30

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Solution

The fourth proportional to 533,770.40, 800,656.12 and 218,227.30 is: 327,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,770.40 : 800,656.12 = 218,227.30 : x
  2. Step 2: Convert to fraction form
    533,770.40/800,656.12 = 218,227.30/x
  3. Step 3: Cross multiply
    533,770.40x = 800,656.12 × 218,227.30
  4. Step 4: Simplify right side
    533,770.40x = 174,725,023,296.08
  5. Step 5: Solve for x
    x = 174,725,023,296.08/533,770.40
  6. Step 6: Final answer
    x = 327,341.16

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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.