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Finding the Fourth Proportional to 533,568.50, 800,354.10 and 218,025.40

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Solution

The fourth proportional to 533,568.50, 800,354.10 and 218,025.40 is: 327,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,568.50 : 800,354.10 = 218,025.40 : x
  2. Step 2: Convert to fraction form
    533,568.50/800,354.10 = 218,025.40/x
  3. Step 3: Cross multiply
    533,568.50x = 800,354.10 × 218,025.40
  4. Step 4: Simplify right side
    533,568.50x = 174,497,522,794.14
  5. Step 5: Solve for x
    x = 174,497,522,794.14/533,568.50
  6. Step 6: Final answer
    x = 327,038.65

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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.