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Finding the Fourth Proportional to 340,435.08, 469,771.38 and 189,546.12

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Solution

The fourth proportional to 340,435.08, 469,771.38 and 189,546.12 is: 261,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,435.08 : 469,771.38 = 189,546.12 : x
  2. Step 2: Convert to fraction form
    340,435.08/469,771.38 = 189,546.12/x
  3. Step 3: Cross multiply
    340,435.08x = 469,771.38 × 189,546.12
  4. Step 4: Simplify right side
    340,435.08x = 89,043,342,366.05
  5. Step 5: Solve for x
    x = 89,043,342,366.05/340,435.08
  6. Step 6: Final answer
    x = 261,557.48

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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.