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Finding the Fourth Proportional to 256,523.80, 384,785.70 and 226,999.30

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Solution

The fourth proportional to 256,523.80, 384,785.70 and 226,999.30 is: 340,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523.80 : 384,785.70 = 226,999.30 : x
  2. Step 2: Convert to fraction form
    256,523.80/384,785.70 = 226,999.30/x
  3. Step 3: Cross multiply
    256,523.80x = 384,785.70 × 226,999.30
  4. Step 4: Simplify right side
    256,523.80x = 87,346,084,550.01
  5. Step 5: Solve for x
    x = 87,346,084,550.01/256,523.80
  6. Step 6: Final answer
    x = 340,498.95

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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.