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Finding the Fourth Proportional to 414,920.56, 572,601.72 and 253,772.68

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Solution

The fourth proportional to 414,920.56, 572,601.72 and 253,772.68 is: 350,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,920.56 : 572,601.72 = 253,772.68 : x
  2. Step 2: Convert to fraction form
    414,920.56/572,601.72 = 253,772.68/x
  3. Step 3: Cross multiply
    414,920.56x = 572,601.72 × 253,772.68
  4. Step 4: Simplify right side
    414,920.56x = 145,310,673,057.01
  5. Step 5: Solve for x
    x = 145,310,673,057.01/414,920.56
  6. Step 6: Final answer
    x = 350,213.24

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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.