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Finding the Fourth Proportional to 382,469.60, 573,819.60 and 205,061.60

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Solution

The fourth proportional to 382,469.60, 573,819.60 and 205,061.60 is: 307,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,469.60 : 573,819.60 = 205,061.60 : x
  2. Step 2: Convert to fraction form
    382,469.60/573,819.60 = 205,061.60/x
  3. Step 3: Cross multiply
    382,469.60x = 573,819.60 × 205,061.60
  4. Step 4: Simplify right side
    382,469.60x = 117,668,365,287.36
  5. Step 5: Solve for x
    x = 117,668,365,287.36/382,469.60
  6. Step 6: Final answer
    x = 307,654.16

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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.