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Finding the Fourth Proportional to 356,664.49, 492,232.21 and 203,725.56

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Solution

The fourth proportional to 356,664.49, 492,232.21 and 203,725.56 is: 281,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,664.49 : 492,232.21 = 203,725.56 : x
  2. Step 2: Convert to fraction form
    356,664.49/492,232.21 = 203,725.56/x
  3. Step 3: Cross multiply
    356,664.49x = 492,232.21 × 203,725.56
  4. Step 4: Simplify right side
    356,664.49x = 100,280,282,632.29
  5. Step 5: Solve for x
    x = 100,280,282,632.29/356,664.49
  6. Step 6: Final answer
    x = 281,161.39

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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.