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Finding the Fourth Proportional to 533,209.96, 799,813.50 and 178,224.04

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Solution

The fourth proportional to 533,209.96, 799,813.50 and 178,224.04 is: 267,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,209.96 : 799,813.50 = 178,224.04 : x
  2. Step 2: Convert to fraction form
    533,209.96/799,813.50 = 178,224.04/x
  3. Step 3: Cross multiply
    533,209.96x = 799,813.50 × 178,224.04
  4. Step 4: Simplify right side
    533,209.96x = 142,545,993,216.54
  5. Step 5: Solve for x
    x = 142,545,993,216.54/533,209.96
  6. Step 6: Final answer
    x = 267,335.58

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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.