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Finding the Fourth Proportional to 356,604.04, 492,092.22 and 195,427

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Solution

The fourth proportional to 356,604.04, 492,092.22 and 195,427 is: 269,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,604.04 : 492,092.22 = 195,427 : x
  2. Step 2: Convert to fraction form
    356,604.04/492,092.22 = 195,427/x
  3. Step 3: Cross multiply
    356,604.04x = 492,092.22 × 195,427
  4. Step 4: Simplify right side
    356,604.04x = 96,168,106,277.94
  5. Step 5: Solve for x
    x = 96,168,106,277.94/356,604.04
  6. Step 6: Final answer
    x = 269,677.56

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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.