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Finding the Fourth Proportional to 414,755.04, 572,363.10 and 233,469.75

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Solution

The fourth proportional to 414,755.04, 572,363.10 and 233,469.75 is: 322,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,755.04 : 572,363.10 = 233,469.75 : x
  2. Step 2: Convert to fraction form
    414,755.04/572,363.10 = 233,469.75/x
  3. Step 3: Cross multiply
    414,755.04x = 572,363.10 × 233,469.75
  4. Step 4: Simplify right side
    414,755.04x = 133,629,469,866.23
  5. Step 5: Solve for x
    x = 133,629,469,866.23/414,755.04
  6. Step 6: Final answer
    x = 322,188.90

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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.