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Finding the Fourth Proportional to 533,568.70, 800,354.40 and 218,025.60

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Solution

The fourth proportional to 533,568.70, 800,354.40 and 218,025.60 is: 327,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,568.70 : 800,354.40 = 218,025.60 : x
  2. Step 2: Convert to fraction form
    533,568.70/800,354.40 = 218,025.60/x
  3. Step 3: Cross multiply
    533,568.70x = 800,354.40 × 218,025.60
  4. Step 4: Simplify right side
    533,568.70x = 174,497,748,272.64
  5. Step 5: Solve for x
    x = 174,497,748,272.64/533,568.70
  6. Step 6: Final answer
    x = 327,038.95

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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.