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Finding the Fourth Proportional to 363,896.10, 545,844.15 and 164,441.70

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Solution

The fourth proportional to 363,896.10, 545,844.15 and 164,441.70 is: 246,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,896.10 : 545,844.15 = 164,441.70 : x
  2. Step 2: Convert to fraction form
    363,896.10/545,844.15 = 164,441.70/x
  3. Step 3: Cross multiply
    363,896.10x = 545,844.15 × 164,441.70
  4. Step 4: Simplify right side
    363,896.10x = 89,759,539,961.06
  5. Step 5: Solve for x
    x = 89,759,539,961.06/363,896.10
  6. Step 6: Final answer
    x = 246,662.55

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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.