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Finding the Fourth Proportional to 385,214.40, 577,717.92 and 135,864

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Solution

The fourth proportional to 385,214.40, 577,717.92 and 135,864 is: 203,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,214.40 : 577,717.92 = 135,864 : x
  2. Step 2: Convert to fraction form
    385,214.40/577,717.92 = 135,864/x
  3. Step 3: Cross multiply
    385,214.40x = 577,717.92 × 135,864
  4. Step 4: Simplify right side
    385,214.40x = 78,491,067,482.88
  5. Step 5: Solve for x
    x = 78,491,067,482.88/385,214.40
  6. Step 6: Final answer
    x = 203,759.43

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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.