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Finding the Fourth Proportional to 411,961.80, 617,942.70 and 299,112.60

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Solution

The fourth proportional to 411,961.80, 617,942.70 and 299,112.60 is: 448,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,961.80 : 617,942.70 = 299,112.60 : x
  2. Step 2: Convert to fraction form
    411,961.80/617,942.70 = 299,112.60/x
  3. Step 3: Cross multiply
    411,961.80x = 617,942.70 × 299,112.60
  4. Step 4: Simplify right side
    411,961.80x = 184,834,447,648.02
  5. Step 5: Solve for x
    x = 184,834,447,648.02/411,961.80
  6. Step 6: Final answer
    x = 448,668.90

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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.