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Finding the Fourth Proportional to 259,998.40, 389,414.40 and 213,342.40

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Solution

The fourth proportional to 259,998.40, 389,414.40 and 213,342.40 is: 319,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,998.40 : 389,414.40 = 213,342.40 : x
  2. Step 2: Convert to fraction form
    259,998.40/389,414.40 = 213,342.40/x
  3. Step 3: Cross multiply
    259,998.40x = 389,414.40 × 213,342.40
  4. Step 4: Simplify right side
    259,998.40x = 83,078,602,690.56
  5. Step 5: Solve for x
    x = 83,078,602,690.56/259,998.40
  6. Step 6: Final answer
    x = 319,535.05

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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.