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Finding the Fourth Proportional to 516,834.84, 775,049.22 and 217,458.84

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Solution

The fourth proportional to 516,834.84, 775,049.22 and 217,458.84 is: 326,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,834.84 : 775,049.22 = 217,458.84 : x
  2. Step 2: Convert to fraction form
    516,834.84/775,049.22 = 217,458.84/x
  3. Step 3: Cross multiply
    516,834.84x = 775,049.22 × 217,458.84
  4. Step 4: Simplify right side
    516,834.84x = 168,541,304,324.11
  5. Step 5: Solve for x
    x = 168,541,304,324.11/516,834.84
  6. Step 6: Final answer
    x = 326,102.83

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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.