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Finding the Fourth Proportional to 533,704.20, 800,487.18 and 201,237

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Solution

The fourth proportional to 533,704.20, 800,487.18 and 201,237 is: 301,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,704.20 : 800,487.18 = 201,237 : x
  2. Step 2: Convert to fraction form
    533,704.20/800,487.18 = 201,237/x
  3. Step 3: Cross multiply
    533,704.20x = 800,487.18 × 201,237
  4. Step 4: Simplify right side
    533,704.20x = 161,087,638,641.66
  5. Step 5: Solve for x
    x = 161,087,638,641.66/533,704.20
  6. Step 6: Final answer
    x = 301,829.44

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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.