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Finding the Fourth Proportional to 821,841.30, 1,232,761.95 and 230,865.30

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Solution

The fourth proportional to 821,841.30, 1,232,761.95 and 230,865.30 is: 346,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,841.30 : 1,232,761.95 = 230,865.30 : x
  2. Step 2: Convert to fraction form
    821,841.30/1,232,761.95 = 230,865.30/x
  3. Step 3: Cross multiply
    821,841.30x = 1,232,761.95 × 230,865.30
  4. Step 4: Simplify right side
    821,841.30x = 284,601,957,415.34
  5. Step 5: Solve for x
    x = 284,601,957,415.34/821,841.30
  6. Step 6: Final answer
    x = 346,297.95

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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.