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Finding the Fourth Proportional to 546,940.46, 820,306.80 and 231,618.80

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Solution

The fourth proportional to 546,940.46, 820,306.80 and 231,618.80 is: 347,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,940.46 : 820,306.80 = 231,618.80 : x
  2. Step 2: Convert to fraction form
    546,940.46/820,306.80 = 231,618.80/x
  3. Step 3: Cross multiply
    546,940.46x = 820,306.80 × 231,618.80
  4. Step 4: Simplify right side
    546,940.46x = 189,998,478,698.61
  5. Step 5: Solve for x
    x = 189,998,478,698.61/546,940.46
  6. Step 6: Final answer
    x = 347,384.21

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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.