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Finding the Fourth Proportional to 414,086.26, 571,435.58 and 232,799

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Solution

The fourth proportional to 414,086.26, 571,435.58 and 232,799 is: 321,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,086.26 : 571,435.58 = 232,799 : x
  2. Step 2: Convert to fraction form
    414,086.26/571,435.58 = 232,799/x
  3. Step 3: Cross multiply
    414,086.26x = 571,435.58 × 232,799
  4. Step 4: Simplify right side
    414,086.26x = 133,029,631,588.42
  5. Step 5: Solve for x
    x = 133,029,631,588.42/414,086.26
  6. Step 6: Final answer
    x = 321,260.68

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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.