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Finding the Fourth Proportional to 417,523.44, 576,181.63 and 226,536.78

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Solution

The fourth proportional to 417,523.44, 576,181.63 and 226,536.78 is: 312,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,523.44 : 576,181.63 = 226,536.78 : x
  2. Step 2: Convert to fraction form
    417,523.44/576,181.63 = 226,536.78/x
  3. Step 3: Cross multiply
    417,523.44x = 576,181.63 × 226,536.78
  4. Step 4: Simplify right side
    417,523.44x = 130,526,327,708.10
  5. Step 5: Solve for x
    x = 130,526,327,708.10/417,523.44
  6. Step 6: Final answer
    x = 312,620.36

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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.