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Finding the Fourth Proportional to 414,661.94, 572,014.00 and 285,375.96

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Solution

The fourth proportional to 414,661.94, 572,014.00 and 285,375.96 is: 393,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,661.94 : 572,014.00 = 285,375.96 : x
  2. Step 2: Convert to fraction form
    414,661.94/572,014.00 = 285,375.96/x
  3. Step 3: Cross multiply
    414,661.94x = 572,014.00 × 285,375.96
  4. Step 4: Simplify right side
    414,661.94x = 163,239,040,096.49
  5. Step 5: Solve for x
    x = 163,239,040,096.49/414,661.94
  6. Step 6: Final answer
    x = 393,667.77

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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.