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Finding the Fourth Proportional to 494,914.14, 742,652.04 and 267,206.72

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Solution

The fourth proportional to 494,914.14, 742,652.04 and 267,206.72 is: 400,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,914.14 : 742,652.04 = 267,206.72 : x
  2. Step 2: Convert to fraction form
    494,914.14/742,652.04 = 267,206.72/x
  3. Step 3: Cross multiply
    494,914.14x = 742,652.04 × 267,206.72
  4. Step 4: Simplify right side
    494,914.14x = 198,441,618,030.50
  5. Step 5: Solve for x
    x = 198,441,618,030.50/494,914.14
  6. Step 6: Final answer
    x = 400,961.71

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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.