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Finding the Fourth Proportional to 382,495.60, 573,858.60 and 205,087.60

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Solution

The fourth proportional to 382,495.60, 573,858.60 and 205,087.60 is: 307,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,495.60 : 573,858.60 = 205,087.60 : x
  2. Step 2: Convert to fraction form
    382,495.60/573,858.60 = 205,087.60/x
  3. Step 3: Cross multiply
    382,495.60x = 573,858.60 × 205,087.60
  4. Step 4: Simplify right side
    382,495.60x = 117,691,283,013.36
  5. Step 5: Solve for x
    x = 117,691,283,013.36/382,495.60
  6. Step 6: Final answer
    x = 307,693.17

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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.