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Finding the Fourth Proportional to 498,757.68, 748,241.73 and 161,772.17

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Solution

The fourth proportional to 498,757.68, 748,241.73 and 161,772.17 is: 242,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,757.68 : 748,241.73 = 161,772.17 : x
  2. Step 2: Convert to fraction form
    498,757.68/748,241.73 = 161,772.17/x
  3. Step 3: Cross multiply
    498,757.68x = 748,241.73 × 161,772.17
  4. Step 4: Simplify right side
    498,757.68x = 121,044,684,605.45
  5. Step 5: Solve for x
    x = 121,044,684,605.45/498,757.68
  6. Step 6: Final answer
    x = 242,692.37

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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.