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Finding the Fourth Proportional to 322,208.68, 483,400.14 and 229,304.20

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Solution

The fourth proportional to 322,208.68, 483,400.14 and 229,304.20 is: 344,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,208.68 : 483,400.14 = 229,304.20 : x
  2. Step 2: Convert to fraction form
    322,208.68/483,400.14 = 229,304.20/x
  3. Step 3: Cross multiply
    322,208.68x = 483,400.14 × 229,304.20
  4. Step 4: Simplify right side
    322,208.68x = 110,845,682,382.59
  5. Step 5: Solve for x
    x = 110,845,682,382.59/322,208.68
  6. Step 6: Final answer
    x = 344,018.30

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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.