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Finding the Fourth Proportional to 412,566.60, 617,813.10 and 329,622.60

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Solution

The fourth proportional to 412,566.60, 617,813.10 and 329,622.60 is: 493,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,566.60 : 617,813.10 = 329,622.60 : x
  2. Step 2: Convert to fraction form
    412,566.60/617,813.10 = 329,622.60/x
  3. Step 3: Cross multiply
    412,566.60x = 617,813.10 × 329,622.60
  4. Step 4: Simplify right side
    412,566.60x = 203,645,160,336.06
  5. Step 5: Solve for x
    x = 203,645,160,336.06/412,566.60
  6. Step 6: Final answer
    x = 493,605.54

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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.