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Finding the Fourth Proportional to 323,719.60, 485,464.20 and 146,311.60

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Solution

The fourth proportional to 323,719.60, 485,464.20 and 146,311.60 is: 219,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,719.60 : 485,464.20 = 146,311.60 : x
  2. Step 2: Convert to fraction form
    323,719.60/485,464.20 = 146,311.60/x
  3. Step 3: Cross multiply
    323,719.60x = 485,464.20 × 146,311.60
  4. Step 4: Simplify right side
    323,719.60x = 71,029,043,844.72
  5. Step 5: Solve for x
    x = 71,029,043,844.72/323,719.60
  6. Step 6: Final answer
    x = 219,415.33

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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.