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Finding the Fourth Proportional to 498,729.40, 748,563.90 and 262,241.80

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Solution

The fourth proportional to 498,729.40, 748,563.90 and 262,241.80 is: 393,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,729.40 : 748,563.90 = 262,241.80 : x
  2. Step 2: Convert to fraction form
    498,729.40/748,563.90 = 262,241.80/x
  3. Step 3: Cross multiply
    498,729.40x = 748,563.90 × 262,241.80
  4. Step 4: Simplify right side
    498,729.40x = 196,304,744,551.02
  5. Step 5: Solve for x
    x = 196,304,744,551.02/498,729.40
  6. Step 6: Final answer
    x = 393,609.73

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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.