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Finding the Fourth Proportional to 551,999.46, 827,999.20 and 178,022.46

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Solution

The fourth proportional to 551,999.46, 827,999.20 and 178,022.46 is: 267,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,999.46 : 827,999.20 = 178,022.46 : x
  2. Step 2: Convert to fraction form
    551,999.46/827,999.20 = 178,022.46/x
  3. Step 3: Cross multiply
    551,999.46x = 827,999.20 × 178,022.46
  4. Step 4: Simplify right side
    551,999.46x = 147,402,454,462.03
  5. Step 5: Solve for x
    x = 147,402,454,462.03/551,999.46
  6. Step 6: Final answer
    x = 267,033.69

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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.