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Finding the Fourth Proportional to 431,346.60, 647,019.90 and 378,858.60

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Solution

The fourth proportional to 431,346.60, 647,019.90 and 378,858.60 is: 568,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,346.60 : 647,019.90 = 378,858.60 : x
  2. Step 2: Convert to fraction form
    431,346.60/647,019.90 = 378,858.60/x
  3. Step 3: Cross multiply
    431,346.60x = 647,019.90 × 378,858.60
  4. Step 4: Simplify right side
    431,346.60x = 245,129,053,486.14
  5. Step 5: Solve for x
    x = 245,129,053,486.14/431,346.60
  6. Step 6: Final answer
    x = 568,287.90

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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.