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Finding the Fourth Proportional to 462,877.28, 693,419.20 and 262,591.80

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Solution

The fourth proportional to 462,877.28, 693,419.20 and 262,591.80 is: 393,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,877.28 : 693,419.20 = 262,591.80 : x
  2. Step 2: Convert to fraction form
    462,877.28/693,419.20 = 262,591.80/x
  3. Step 3: Cross multiply
    462,877.28x = 693,419.20 × 262,591.80
  4. Step 4: Simplify right side
    462,877.28x = 182,086,195,882.56
  5. Step 5: Solve for x
    x = 182,086,195,882.56/462,877.28
  6. Step 6: Final answer
    x = 393,378.99

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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.