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Finding the Fourth Proportional to 400,891.40, 552,786.82 and 255,466.84

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Solution

The fourth proportional to 400,891.40, 552,786.82 and 255,466.84 is: 352,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,891.40 : 552,786.82 = 255,466.84 : x
  2. Step 2: Convert to fraction form
    400,891.40/552,786.82 = 255,466.84/x
  3. Step 3: Cross multiply
    400,891.40x = 552,786.82 × 255,466.84
  4. Step 4: Simplify right side
    400,891.40x = 141,218,699,200.93
  5. Step 5: Solve for x
    x = 141,218,699,200.93/400,891.40
  6. Step 6: Final answer
    x = 352,261.73

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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.