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Finding the Fourth Proportional to 828,158.38, 1,241,351.82 and 378,205

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Solution

The fourth proportional to 828,158.38, 1,241,351.82 and 378,205 is: 566,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,158.38 : 1,241,351.82 = 378,205 : x
  2. Step 2: Convert to fraction form
    828,158.38/1,241,351.82 = 378,205/x
  3. Step 3: Cross multiply
    828,158.38x = 1,241,351.82 × 378,205
  4. Step 4: Simplify right side
    828,158.38x = 469,485,465,083.10
  5. Step 5: Solve for x
    x = 469,485,465,083.10/828,158.38
  6. Step 6: Final answer
    x = 566,902.99

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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.