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Finding the Fourth Proportional to 617,137.64, 851,609.86 and 345,158.44

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Solution

The fourth proportional to 617,137.64, 851,609.86 and 345,158.44 is: 476,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,137.64 : 851,609.86 = 345,158.44 : x
  2. Step 2: Convert to fraction form
    617,137.64/851,609.86 = 345,158.44/x
  3. Step 3: Cross multiply
    617,137.64x = 851,609.86 × 345,158.44
  4. Step 4: Simplify right side
    617,137.64x = 293,940,330,766.22
  5. Step 5: Solve for x
    x = 293,940,330,766.22/617,137.64
  6. Step 6: Final answer
    x = 476,296.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.