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Finding the Fourth Proportional to 460,773.28, 635,844.60 and 256,846.40

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Solution

The fourth proportional to 460,773.28, 635,844.60 and 256,846.40 is: 354,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,773.28 : 635,844.60 = 256,846.40 : x
  2. Step 2: Convert to fraction form
    460,773.28/635,844.60 = 256,846.40/x
  3. Step 3: Cross multiply
    460,773.28x = 635,844.60 × 256,846.40
  4. Step 4: Simplify right side
    460,773.28x = 163,314,396,469.44
  5. Step 5: Solve for x
    x = 163,314,396,469.44/460,773.28
  6. Step 6: Final answer
    x = 354,435.48

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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.