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Finding the Fourth Proportional to 322,883.44, 484,305.54 and 120,440.50

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Solution

The fourth proportional to 322,883.44, 484,305.54 and 120,440.50 is: 180,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,883.44 : 484,305.54 = 120,440.50 : x
  2. Step 2: Convert to fraction form
    322,883.44/484,305.54 = 120,440.50/x
  3. Step 3: Cross multiply
    322,883.44x = 484,305.54 × 120,440.50
  4. Step 4: Simplify right side
    322,883.44x = 58,330,001,390.37
  5. Step 5: Solve for x
    x = 58,330,001,390.37/322,883.44
  6. Step 6: Final answer
    x = 180,653.43

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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.