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Finding the Fourth Proportional to 463,099.85, 694,372.95 and 178,554.38

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Solution

The fourth proportional to 463,099.85, 694,372.95 and 178,554.38 is: 267,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,099.85 : 694,372.95 = 178,554.38 : x
  2. Step 2: Convert to fraction form
    463,099.85/694,372.95 = 178,554.38/x
  3. Step 3: Cross multiply
    463,099.85x = 694,372.95 × 178,554.38
  4. Step 4: Simplify right side
    463,099.85x = 123,983,333,311.95
  5. Step 5: Solve for x
    x = 123,983,333,311.95/463,099.85
  6. Step 6: Final answer
    x = 267,724.84

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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.