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Finding the Fourth Proportional to 404,506.20, 558,329.58 and 234,795

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Solution

The fourth proportional to 404,506.20, 558,329.58 and 234,795 is: 324,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,506.20 : 558,329.58 = 234,795 : x
  2. Step 2: Convert to fraction form
    404,506.20/558,329.58 = 234,795/x
  3. Step 3: Cross multiply
    404,506.20x = 558,329.58 × 234,795
  4. Step 4: Simplify right side
    404,506.20x = 131,092,993,736.10
  5. Step 5: Solve for x
    x = 131,092,993,736.10/404,506.20
  6. Step 6: Final answer
    x = 324,081.54

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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.