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Finding the Fourth Proportional to 316,096, 474,144 and 82,624

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Solution

The fourth proportional to 316,096, 474,144 and 82,624 is: 123,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,096 : 474,144 = 82,624 : x
  2. Step 2: Convert to fraction form
    316,096/474,144 = 82,624/x
  3. Step 3: Cross multiply
    316,096x = 474,144 × 82,624
  4. Step 4: Simplify right side
    316,096x = 39,175,673,856
  5. Step 5: Solve for x
    x = 39,175,673,856/316,096
  6. Step 6: Final answer
    x = 123,936

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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.