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Finding the Fourth Proportional to 455,143.80, 682,715.70 and 305,844.60

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Solution

The fourth proportional to 455,143.80, 682,715.70 and 305,844.60 is: 458,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,143.80 : 682,715.70 = 305,844.60 : x
  2. Step 2: Convert to fraction form
    455,143.80/682,715.70 = 305,844.60/x
  3. Step 3: Cross multiply
    455,143.80x = 682,715.70 × 305,844.60
  4. Step 4: Simplify right side
    455,143.80x = 208,804,910,180.22
  5. Step 5: Solve for x
    x = 208,804,910,180.22/455,143.80
  6. Step 6: Final answer
    x = 458,766.90

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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.