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Finding the Fourth Proportional to 414,542.40, 622,274.40 and 256,948.80

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Solution

The fourth proportional to 414,542.40, 622,274.40 and 256,948.80 is: 385,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,542.40 : 622,274.40 = 256,948.80 : x
  2. Step 2: Convert to fraction form
    414,542.40/622,274.40 = 256,948.80/x
  3. Step 3: Cross multiply
    414,542.40x = 622,274.40 × 256,948.80
  4. Step 4: Simplify right side
    414,542.40x = 159,892,660,350.72
  5. Step 5: Solve for x
    x = 159,892,660,350.72/414,542.40
  6. Step 6: Final answer
    x = 385,708.82

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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.