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Finding the Fourth Proportional to 498,003, 747,010.98 and 165,579

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Solution

The fourth proportional to 498,003, 747,010.98 and 165,579 is: 248,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,003 : 747,010.98 = 165,579 : x
  2. Step 2: Convert to fraction form
    498,003/747,010.98 = 165,579/x
  3. Step 3: Cross multiply
    498,003x = 747,010.98 × 165,579
  4. Step 4: Simplify right side
    498,003x = 123,689,331,057.42
  5. Step 5: Solve for x
    x = 123,689,331,057.42/498,003
  6. Step 6: Final answer
    x = 248,370.65

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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.