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Finding the Fourth Proportional to 322,643.85, 483,529.82 and 122,855.25

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Solution

The fourth proportional to 322,643.85, 483,529.82 and 122,855.25 is: 184,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,643.85 : 483,529.82 = 122,855.25 : x
  2. Step 2: Convert to fraction form
    322,643.85/483,529.82 = 122,855.25/x
  3. Step 3: Cross multiply
    322,643.85x = 483,529.82 × 122,855.25
  4. Step 4: Simplify right side
    322,643.85x = 59,404,176,918.56
  5. Step 5: Solve for x
    x = 59,404,176,918.56/322,643.85
  6. Step 6: Final answer
    x = 184,116.87

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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.