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Finding the Fourth Proportional to 357,046.10, 492,723.57 and 204,087.56

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Solution

The fourth proportional to 357,046.10, 492,723.57 and 204,087.56 is: 281,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,046.10 : 492,723.57 = 204,087.56 : x
  2. Step 2: Convert to fraction form
    357,046.10/492,723.57 = 204,087.56/x
  3. Step 3: Cross multiply
    357,046.10x = 492,723.57 × 204,087.56
  4. Step 4: Simplify right side
    357,046.10x = 100,558,751,155.79
  5. Step 5: Solve for x
    x = 100,558,751,155.79/357,046.10
  6. Step 6: Final answer
    x = 281,640.81

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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.