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Finding the Fourth Proportional to 494,928.16, 742,673.12 and 267,220.76

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Solution

The fourth proportional to 494,928.16, 742,673.12 and 267,220.76 is: 400,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,928.16 : 742,673.12 = 267,220.76 : x
  2. Step 2: Convert to fraction form
    494,928.16/742,673.12 = 267,220.76/x
  3. Step 3: Cross multiply
    494,928.16x = 742,673.12 × 267,220.76
  4. Step 4: Simplify right side
    494,928.16x = 198,457,670,508.50
  5. Step 5: Solve for x
    x = 198,457,670,508.50/494,928.16
  6. Step 6: Final answer
    x = 400,982.78

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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.