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Finding the Fourth Proportional to 498,013, 747,026 and 165,589

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Solution

The fourth proportional to 498,013, 747,026 and 165,589 is: 248,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,013 : 747,026 = 165,589 : x
  2. Step 2: Convert to fraction form
    498,013/747,026 = 165,589/x
  3. Step 3: Cross multiply
    498,013x = 747,026 × 165,589
  4. Step 4: Simplify right side
    498,013x = 123,699,288,314
  5. Step 5: Solve for x
    x = 123,699,288,314/498,013
  6. Step 6: Final answer
    x = 248,385.66

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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.