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Finding the Fourth Proportional to 375,189.36, 517,734.36 and 205,396.08

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Solution

The fourth proportional to 375,189.36, 517,734.36 and 205,396.08 is: 283,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,189.36 : 517,734.36 = 205,396.08 : x
  2. Step 2: Convert to fraction form
    375,189.36/517,734.36 = 205,396.08/x
  3. Step 3: Cross multiply
    375,189.36x = 517,734.36 × 205,396.08
  4. Step 4: Simplify right side
    375,189.36x = 106,340,608,025.31
  5. Step 5: Solve for x
    x = 106,340,608,025.31/375,189.36
  6. Step 6: Final answer
    x = 283,431.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.