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Finding the Fourth Proportional to 414,674.52, 572,253.12 and 233,389.32

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Solution

The fourth proportional to 414,674.52, 572,253.12 and 233,389.32 is: 322,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,674.52 : 572,253.12 = 233,389.32 : x
  2. Step 2: Convert to fraction form
    414,674.52/572,253.12 = 233,389.32/x
  3. Step 3: Cross multiply
    414,674.52x = 572,253.12 × 233,389.32
  4. Step 4: Simplify right side
    414,674.52x = 133,557,766,544.68
  5. Step 5: Solve for x
    x = 133,557,766,544.68/414,674.52
  6. Step 6: Final answer
    x = 322,078.55

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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.