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Finding the Fourth Proportional to 441,938.76, 663,198.70 and 242,399

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Solution

The fourth proportional to 441,938.76, 663,198.70 and 242,399 is: 363,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,938.76 : 663,198.70 = 242,399 : x
  2. Step 2: Convert to fraction form
    441,938.76/663,198.70 = 242,399/x
  3. Step 3: Cross multiply
    441,938.76x = 663,198.70 × 242,399
  4. Step 4: Simplify right side
    441,938.76x = 160,758,701,681.30
  5. Step 5: Solve for x
    x = 160,758,701,681.30/441,938.76
  6. Step 6: Final answer
    x = 363,757.87

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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.