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Finding the Fourth Proportional to 322,857.53, 484,302.71 and 109,650.54

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Solution

The fourth proportional to 322,857.53, 484,302.71 and 109,650.54 is: 164,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,857.53 : 484,302.71 = 109,650.54 : x
  2. Step 2: Convert to fraction form
    322,857.53/484,302.71 = 109,650.54/x
  3. Step 3: Cross multiply
    322,857.53x = 484,302.71 × 109,650.54
  4. Step 4: Simplify right side
    322,857.53x = 53,104,053,126.71
  5. Step 5: Solve for x
    x = 53,104,053,126.71/322,857.53
  6. Step 6: Final answer
    x = 164,481.39

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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.