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Finding the Fourth Proportional to 414,770.40, 622,616.40 and 257,176.80

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Solution

The fourth proportional to 414,770.40, 622,616.40 and 257,176.80 is: 386,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,770.40 : 622,616.40 = 257,176.80 : x
  2. Step 2: Convert to fraction form
    414,770.40/622,616.40 = 257,176.80/x
  3. Step 3: Cross multiply
    414,770.40x = 622,616.40 × 257,176.80
  4. Step 4: Simplify right side
    414,770.40x = 160,122,493,379.52
  5. Step 5: Solve for x
    x = 160,122,493,379.52/414,770.40
  6. Step 6: Final answer
    x = 386,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.