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Finding the Fourth Proportional to 322,922.56, 484,448.64 and 112,504

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Solution

The fourth proportional to 322,922.56, 484,448.64 and 112,504 is: 168,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,922.56 : 484,448.64 = 112,504 : x
  2. Step 2: Convert to fraction form
    322,922.56/484,448.64 = 112,504/x
  3. Step 3: Cross multiply
    322,922.56x = 484,448.64 × 112,504
  4. Step 4: Simplify right side
    322,922.56x = 54,502,409,794.56
  5. Step 5: Solve for x
    x = 54,502,409,794.56/322,922.56
  6. Step 6: Final answer
    x = 168,778.58

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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.