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Finding the Fourth Proportional to 322,109.90, 482,532.80 and 262,202.79

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Solution

The fourth proportional to 322,109.90, 482,532.80 and 262,202.79 is: 392,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109.90 : 482,532.80 = 262,202.79 : x
  2. Step 2: Convert to fraction form
    322,109.90/482,532.80 = 262,202.79/x
  3. Step 3: Cross multiply
    322,109.90x = 482,532.80 × 262,202.79
  4. Step 4: Simplify right side
    322,109.90x = 126,521,445,115.50
  5. Step 5: Solve for x
    x = 126,521,445,115.50/322,109.90
  6. Step 6: Final answer
    x = 392,789.69

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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.