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Finding the Fourth Proportional to 323,948.70, 447,046.16 and 178,755.84

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Solution

The fourth proportional to 323,948.70, 447,046.16 and 178,755.84 is: 246,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,948.70 : 447,046.16 = 178,755.84 : x
  2. Step 2: Convert to fraction form
    323,948.70/447,046.16 = 178,755.84/x
  3. Step 3: Cross multiply
    323,948.70x = 447,046.16 × 178,755.84
  4. Step 4: Simplify right side
    323,948.70x = 79,912,110,955.80
  5. Step 5: Solve for x
    x = 79,912,110,955.80/323,948.70
  6. Step 6: Final answer
    x = 246,681.38

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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.