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Finding the Fourth Proportional to 551,998.46, 827,997.70 and 178,021.46

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Solution

The fourth proportional to 551,998.46, 827,997.70 and 178,021.46 is: 267,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,998.46 : 827,997.70 = 178,021.46 : x
  2. Step 2: Convert to fraction form
    551,998.46/827,997.70 = 178,021.46/x
  3. Step 3: Cross multiply
    551,998.46x = 827,997.70 × 178,021.46
  4. Step 4: Simplify right side
    551,998.46x = 147,401,359,430.64
  5. Step 5: Solve for x
    x = 147,401,359,430.64/551,998.46
  6. Step 6: Final answer
    x = 267,032.19

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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.