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Finding the Fourth Proportional to 346,234.60, 519,422.10 and 196,546.60

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Solution

The fourth proportional to 346,234.60, 519,422.10 and 196,546.60 is: 294,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,234.60 : 519,422.10 = 196,546.60 : x
  2. Step 2: Convert to fraction form
    346,234.60/519,422.10 = 196,546.60/x
  3. Step 3: Cross multiply
    346,234.60x = 519,422.10 × 196,546.60
  4. Step 4: Simplify right side
    346,234.60x = 102,090,647,719.86
  5. Step 5: Solve for x
    x = 102,090,647,719.86/346,234.60
  6. Step 6: Final answer
    x = 294,859.75

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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.