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Finding the Fourth Proportional to 311,924.16, 467,883.84 and 75,265.92

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Solution

The fourth proportional to 311,924.16, 467,883.84 and 75,265.92 is: 112,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,924.16 : 467,883.84 = 75,265.92 : x
  2. Step 2: Convert to fraction form
    311,924.16/467,883.84 = 75,265.92/x
  3. Step 3: Cross multiply
    311,924.16x = 467,883.84 × 75,265.92
  4. Step 4: Simplify right side
    311,924.16x = 35,215,707,670.73
  5. Step 5: Solve for x
    x = 35,215,707,670.73/311,924.16
  6. Step 6: Final answer
    x = 112,898.30

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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.