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Finding the Fourth Proportional to 533,614.62, 800,463.55 and 154,541

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Solution

The fourth proportional to 533,614.62, 800,463.55 and 154,541 is: 231,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,614.62 : 800,463.55 = 154,541 : x
  2. Step 2: Convert to fraction form
    533,614.62/800,463.55 = 154,541/x
  3. Step 3: Cross multiply
    533,614.62x = 800,463.55 × 154,541
  4. Step 4: Simplify right side
    533,614.62x = 123,704,437,480.55
  5. Step 5: Solve for x
    x = 123,704,437,480.55/533,614.62
  6. Step 6: Final answer
    x = 231,823.55

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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.