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Finding the Fourth Proportional to 322,404.30, 483,460.65 and 144,819.90

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Solution

The fourth proportional to 322,404.30, 483,460.65 and 144,819.90 is: 217,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,404.30 : 483,460.65 = 144,819.90 : x
  2. Step 2: Convert to fraction form
    322,404.30/483,460.65 = 144,819.90/x
  3. Step 3: Cross multiply
    322,404.30x = 483,460.65 × 144,819.90
  4. Step 4: Simplify right side
    322,404.30x = 70,014,722,986.94
  5. Step 5: Solve for x
    x = 70,014,722,986.94/322,404.30
  6. Step 6: Final answer
    x = 217,164.36

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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.