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Finding the Fourth Proportional to 341,219.35, 470,884.34 and 188,257.53

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Solution

The fourth proportional to 341,219.35, 470,884.34 and 188,257.53 is: 259,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,219.35 : 470,884.34 = 188,257.53 : x
  2. Step 2: Convert to fraction form
    341,219.35/470,884.34 = 188,257.53/x
  3. Step 3: Cross multiply
    341,219.35x = 470,884.34 × 188,257.53
  4. Step 4: Simplify right side
    341,219.35x = 88,647,523,941.59
  5. Step 5: Solve for x
    x = 88,647,523,941.59/341,219.35
  6. Step 6: Final answer
    x = 259,796.30

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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.