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Finding the Fourth Proportional to 383,306.46, 574,959.69 and 133,930.14

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Solution

The fourth proportional to 383,306.46, 574,959.69 and 133,930.14 is: 200,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,306.46 : 574,959.69 = 133,930.14 : x
  2. Step 2: Convert to fraction form
    383,306.46/574,959.69 = 133,930.14/x
  3. Step 3: Cross multiply
    383,306.46x = 574,959.69 × 133,930.14
  4. Step 4: Simplify right side
    383,306.46x = 77,004,431,776.06
  5. Step 5: Solve for x
    x = 77,004,431,776.06/383,306.46
  6. Step 6: Final answer
    x = 200,895.21

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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.