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Finding the Fourth Proportional to 533,735.20, 800,533.68 and 201,268

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Solution

The fourth proportional to 533,735.20, 800,533.68 and 201,268 is: 301,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,735.20 : 800,533.68 = 201,268 : x
  2. Step 2: Convert to fraction form
    533,735.20/800,533.68 = 201,268/x
  3. Step 3: Cross multiply
    533,735.20x = 800,533.68 × 201,268
  4. Step 4: Simplify right side
    533,735.20x = 161,121,812,706.24
  5. Step 5: Solve for x
    x = 161,121,812,706.24/533,735.20
  6. Step 6: Final answer
    x = 301,875.94

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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.