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Finding the Fourth Proportional to 414,950.54, 572,626.09 and 233,664.64

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Solution

The fourth proportional to 414,950.54, 572,626.09 and 233,664.64 is: 322,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,950.54 : 572,626.09 = 233,664.64 : x
  2. Step 2: Convert to fraction form
    414,950.54/572,626.09 = 233,664.64/x
  3. Step 3: Cross multiply
    414,950.54x = 572,626.09 × 233,664.64
  4. Step 4: Simplify right side
    414,950.54x = 133,802,468,034.97
  5. Step 5: Solve for x
    x = 133,802,468,034.97/414,950.54
  6. Step 6: Final answer
    x = 322,454.02

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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.