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Finding the Fourth Proportional to 299,041.94, 447,834.24 and 197,778.30

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Solution

The fourth proportional to 299,041.94, 447,834.24 and 197,778.30 is: 296,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,041.94 : 447,834.24 = 197,778.30 : x
  2. Step 2: Convert to fraction form
    299,041.94/447,834.24 = 197,778.30/x
  3. Step 3: Cross multiply
    299,041.94x = 447,834.24 × 197,778.30
  4. Step 4: Simplify right side
    299,041.94x = 88,571,894,668.99
  5. Step 5: Solve for x
    x = 88,571,894,668.99/299,041.94
  6. Step 6: Final answer
    x = 296,185.53

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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.