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Finding the Fourth Proportional to 323,046.40, 484,591.20 and 109,811.20

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Solution

The fourth proportional to 323,046.40, 484,591.20 and 109,811.20 is: 164,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,046.40 : 484,591.20 = 109,811.20 : x
  2. Step 2: Convert to fraction form
    323,046.40/484,591.20 = 109,811.20/x
  3. Step 3: Cross multiply
    323,046.40x = 484,591.20 × 109,811.20
  4. Step 4: Simplify right side
    323,046.40x = 53,213,541,181.44
  5. Step 5: Solve for x
    x = 53,213,541,181.44/323,046.40
  6. Step 6: Final answer
    x = 164,724.14

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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.