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Finding the Fourth Proportional to 341,411, 471,147.22 and 188,449.25

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Solution

The fourth proportional to 341,411, 471,147.22 and 188,449.25 is: 260,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,411 : 471,147.22 = 188,449.25 : x
  2. Step 2: Convert to fraction form
    341,411/471,147.22 = 188,449.25/x
  3. Step 3: Cross multiply
    341,411x = 471,147.22 × 188,449.25
  4. Step 4: Simplify right side
    341,411x = 88,787,337,892.85
  5. Step 5: Solve for x
    x = 88,787,337,892.85/341,411
  6. Step 6: Final answer
    x = 260,059.98

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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.