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Finding the Fourth Proportional to 414,908, 572,539 and 233,561.96

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Solution

The fourth proportional to 414,908, 572,539 and 233,561.96 is: 322,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,908 : 572,539 = 233,561.96 : x
  2. Step 2: Convert to fraction form
    414,908/572,539 = 233,561.96/x
  3. Step 3: Cross multiply
    414,908x = 572,539 × 233,561.96
  4. Step 4: Simplify right side
    414,908x = 133,723,331,016.44
  5. Step 5: Solve for x
    x = 133,723,331,016.44/414,908
  6. Step 6: Final answer
    x = 322,296.34

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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.