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Finding the Fourth Proportional to 533,892.72, 800,281.17 and 178,614.48

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Solution

The fourth proportional to 533,892.72, 800,281.17 and 178,614.48 is: 267,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,892.72 : 800,281.17 = 178,614.48 : x
  2. Step 2: Convert to fraction form
    533,892.72/800,281.17 = 178,614.48/x
  3. Step 3: Cross multiply
    533,892.72x = 800,281.17 × 178,614.48
  4. Step 4: Simplify right side
    533,892.72x = 142,941,805,033.34
  5. Step 5: Solve for x
    x = 142,941,805,033.34/533,892.72
  6. Step 6: Final answer
    x = 267,735.07

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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.