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Finding the Fourth Proportional to 467,882.75, 645,741.38 and 263,975.51

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Solution

The fourth proportional to 467,882.75, 645,741.38 and 263,975.51 is: 364,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,882.75 : 645,741.38 = 263,975.51 : x
  2. Step 2: Convert to fraction form
    467,882.75/645,741.38 = 263,975.51/x
  3. Step 3: Cross multiply
    467,882.75x = 645,741.38 × 263,975.51
  4. Step 4: Simplify right side
    467,882.75x = 170,459,908,793.73
  5. Step 5: Solve for x
    x = 170,459,908,793.73/467,882.75
  6. Step 6: Final answer
    x = 364,321.85

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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.