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Finding the Fourth Proportional to 512,956.93, 769,451.01 and 175,992.86

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Solution

The fourth proportional to 512,956.93, 769,451.01 and 175,992.86 is: 263,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,956.93 : 769,451.01 = 175,992.86 : x
  2. Step 2: Convert to fraction form
    512,956.93/769,451.01 = 175,992.86/x
  3. Step 3: Cross multiply
    512,956.93x = 769,451.01 × 175,992.86
  4. Step 4: Simplify right side
    512,956.93x = 135,417,883,879.79
  5. Step 5: Solve for x
    x = 135,417,883,879.79/512,956.93
  6. Step 6: Final answer
    x = 263,994.65

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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.