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Finding the Fourth Proportional to 357,338.25, 492,986.14 and 204,294.22

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Solution

The fourth proportional to 357,338.25, 492,986.14 and 204,294.22 is: 281,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,338.25 : 492,986.14 = 204,294.22 : x
  2. Step 2: Convert to fraction form
    357,338.25/492,986.14 = 204,294.22/x
  3. Step 3: Cross multiply
    357,338.25x = 492,986.14 × 204,294.22
  4. Step 4: Simplify right side
    357,338.25x = 100,714,217,198.91
  5. Step 5: Solve for x
    x = 100,714,217,198.91/357,338.25
  6. Step 6: Final answer
    x = 281,845.61

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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.