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Finding the Fourth Proportional to 414,455.40, 622,143.90 and 256,861.80

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Solution

The fourth proportional to 414,455.40, 622,143.90 and 256,861.80 is: 385,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,455.40 : 622,143.90 = 256,861.80 : x
  2. Step 2: Convert to fraction form
    414,455.40/622,143.90 = 256,861.80/x
  3. Step 3: Cross multiply
    414,455.40x = 622,143.90 × 256,861.80
  4. Step 4: Simplify right side
    414,455.40x = 159,805,002,013.02
  5. Step 5: Solve for x
    x = 159,805,002,013.02/414,455.40
  6. Step 6: Final answer
    x = 385,578.28

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1.5x scale

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.