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Finding the Fourth Proportional to 322,419.90, 483,046.65 and 275,763.90

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Solution

The fourth proportional to 322,419.90, 483,046.65 and 275,763.90 is: 413,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,419.90 : 483,046.65 = 275,763.90 : x
  2. Step 2: Convert to fraction form
    322,419.90/483,046.65 = 275,763.90/x
  3. Step 3: Cross multiply
    322,419.90x = 483,046.65 × 275,763.90
  4. Step 4: Simplify right side
    322,419.90x = 133,206,828,085.94
  5. Step 5: Solve for x
    x = 133,206,828,085.94/322,419.90
  6. Step 6: Final answer
    x = 413,147.04

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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.