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Finding the Fourth Proportional to 322,273.14, 483,243.66 and 144,627.84

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Solution

The fourth proportional to 322,273.14, 483,243.66 and 144,627.84 is: 216,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,273.14 : 483,243.66 = 144,627.84 : x
  2. Step 2: Convert to fraction form
    322,273.14/483,243.66 = 144,627.84/x
  3. Step 3: Cross multiply
    322,273.14x = 483,243.66 × 144,627.84
  4. Step 4: Simplify right side
    322,273.14x = 69,890,486,739.49
  5. Step 5: Solve for x
    x = 69,890,486,739.49/322,273.14
  6. Step 6: Final answer
    x = 216,867.24

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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.