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Finding the Fourth Proportional to 329,531.60, 494,297.40 and 205,115.60

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Solution

The fourth proportional to 329,531.60, 494,297.40 and 205,115.60 is: 307,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,531.60 : 494,297.40 = 205,115.60 : x
  2. Step 2: Convert to fraction form
    329,531.60/494,297.40 = 205,115.60/x
  3. Step 3: Cross multiply
    329,531.60x = 494,297.40 × 205,115.60
  4. Step 4: Simplify right side
    329,531.60x = 101,388,107,779.44
  5. Step 5: Solve for x
    x = 101,388,107,779.44/329,531.60
  6. Step 6: Final answer
    x = 307,673.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.