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Finding the Fourth Proportional to 269,077.60, 403,616.40 and 256,175.20

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Solution

The fourth proportional to 269,077.60, 403,616.40 and 256,175.20 is: 384,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,077.60 : 403,616.40 = 256,175.20 : x
  2. Step 2: Convert to fraction form
    269,077.60/403,616.40 = 256,175.20/x
  3. Step 3: Cross multiply
    269,077.60x = 403,616.40 × 256,175.20
  4. Step 4: Simplify right side
    269,077.60x = 103,396,511,993.28
  5. Step 5: Solve for x
    x = 103,396,511,993.28/269,077.60
  6. Step 6: Final answer
    x = 384,262.80

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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.