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Finding the Fourth Proportional to 357,041.98, 492,717.89 and 204,083.43

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Solution

The fourth proportional to 357,041.98, 492,717.89 and 204,083.43 is: 281,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041.98 : 492,717.89 = 204,083.43 : x
  2. Step 2: Convert to fraction form
    357,041.98/492,717.89 = 204,083.43/x
  3. Step 3: Cross multiply
    357,041.98x = 492,717.89 × 204,083.43
  4. Step 4: Simplify right side
    357,041.98x = 100,555,557,224.94
  5. Step 5: Solve for x
    x = 100,555,557,224.94/357,041.98
  6. Step 6: Final answer
    x = 281,635.11

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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.