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Finding the Fourth Proportional to 256,905.44, 354,648.54 and 149,436.32

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Solution

The fourth proportional to 256,905.44, 354,648.54 and 149,436.32 is: 206,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,905.44 : 354,648.54 = 149,436.32 : x
  2. Step 2: Convert to fraction form
    256,905.44/354,648.54 = 149,436.32/x
  3. Step 3: Cross multiply
    256,905.44x = 354,648.54 × 149,436.32
  4. Step 4: Simplify right side
    256,905.44x = 52,997,372,710.97
  5. Step 5: Solve for x
    x = 52,997,372,710.97/256,905.44
  6. Step 6: Final answer
    x = 206,291.36

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1.5x scale

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.