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Finding the Fourth Proportional to 356,711.05, 492,265.29 and 203,769.48

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Solution

The fourth proportional to 356,711.05, 492,265.29 and 203,769.48 is: 281,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,711.05 : 492,265.29 = 203,769.48 : x
  2. Step 2: Convert to fraction form
    356,711.05/492,265.29 = 203,769.48/x
  3. Step 3: Cross multiply
    356,711.05x = 492,265.29 × 203,769.48
  4. Step 4: Simplify right side
    356,711.05x = 100,308,642,165.35
  5. Step 5: Solve for x
    x = 100,308,642,165.35/356,711.05
  6. Step 6: Final answer
    x = 281,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.