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Finding the Fourth Proportional to 256,871.49, 354,553.89 and 149,462.28

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Solution

The fourth proportional to 256,871.49, 354,553.89 and 149,462.28 is: 206,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,871.49 : 354,553.89 = 149,462.28 : x
  2. Step 2: Convert to fraction form
    256,871.49/354,553.89 = 149,462.28/x
  3. Step 3: Cross multiply
    256,871.49x = 354,553.89 × 149,462.28
  4. Step 4: Simplify right side
    256,871.49x = 52,992,432,782.27
  5. Step 5: Solve for x
    x = 52,992,432,782.27/256,871.49
  6. Step 6: Final answer
    x = 206,299.39

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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.