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Finding the Fourth Proportional to 541,753.70, 812,187 and 204,602.96

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Solution

The fourth proportional to 541,753.70, 812,187 and 204,602.96 is: 306,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,753.70 : 812,187 = 204,602.96 : x
  2. Step 2: Convert to fraction form
    541,753.70/812,187 = 204,602.96/x
  3. Step 3: Cross multiply
    541,753.70x = 812,187 × 204,602.96
  4. Step 4: Simplify right side
    541,753.70x = 166,175,864,273.52
  5. Step 5: Solve for x
    x = 166,175,864,273.52/541,753.70
  6. Step 6: Final answer
    x = 306,736.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.