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Finding the Fourth Proportional to 471,054.28, 650,036.20 and 256,194.24

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Solution

The fourth proportional to 471,054.28, 650,036.20 and 256,194.24 is: 353,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,054.28 : 650,036.20 = 256,194.24 : x
  2. Step 2: Convert to fraction form
    471,054.28/650,036.20 = 256,194.24/x
  3. Step 3: Cross multiply
    471,054.28x = 650,036.20 × 256,194.24
  4. Step 4: Simplify right side
    471,054.28x = 166,535,530,231.49
  5. Step 5: Solve for x
    x = 166,535,530,231.49/471,054.28
  6. Step 6: Final answer
    x = 353,537.88

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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.