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Finding the Fourth Proportional to 511,019.76, 704,451.15 and 327,238.86

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Solution

The fourth proportional to 511,019.76, 704,451.15 and 327,238.86 is: 451,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,019.76 : 704,451.15 = 327,238.86 : x
  2. Step 2: Convert to fraction form
    511,019.76/704,451.15 = 327,238.86/x
  3. Step 3: Cross multiply
    511,019.76x = 704,451.15 × 327,238.86
  4. Step 4: Simplify right side
    511,019.76x = 230,523,791,251.69
  5. Step 5: Solve for x
    x = 230,523,791,251.69/511,019.76
  6. Step 6: Final answer
    x = 451,105.44

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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.