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Finding the Fourth Proportional to 321,409.52, 482,204.55 and 119,002.58

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Solution

The fourth proportional to 321,409.52, 482,204.55 and 119,002.58 is: 178,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,409.52 : 482,204.55 = 119,002.58 : x
  2. Step 2: Convert to fraction form
    321,409.52/482,204.55 = 119,002.58/x
  3. Step 3: Cross multiply
    321,409.52x = 482,204.55 × 119,002.58
  4. Step 4: Simplify right side
    321,409.52x = 57,383,585,537.74
  5. Step 5: Solve for x
    x = 57,383,585,537.74/321,409.52
  6. Step 6: Final answer
    x = 178,537.29

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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.