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Finding the Fourth Proportional to 435,709.44, 653,651.64 and 198,988.56

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Solution

The fourth proportional to 435,709.44, 653,651.64 and 198,988.56 is: 298,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,709.44 : 653,651.64 = 198,988.56 : x
  2. Step 2: Convert to fraction form
    435,709.44/653,651.64 = 198,988.56/x
  3. Step 3: Cross multiply
    435,709.44x = 653,651.64 × 198,988.56
  4. Step 4: Simplify right side
    435,709.44x = 130,069,198,585.24
  5. Step 5: Solve for x
    x = 130,069,198,585.24/435,709.44
  6. Step 6: Final answer
    x = 298,522.79

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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.