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Finding the Fourth Proportional to 551,645.38, 827,468.11 and 177,668.38

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Solution

The fourth proportional to 551,645.38, 827,468.11 and 177,668.38 is: 266,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,645.38 : 827,468.11 = 177,668.38 : x
  2. Step 2: Convert to fraction form
    551,645.38/827,468.11 = 177,668.38/x
  3. Step 3: Cross multiply
    551,645.38x = 827,468.11 × 177,668.38
  4. Step 4: Simplify right side
    551,645.38x = 147,014,914,023.85
  5. Step 5: Solve for x
    x = 147,014,914,023.85/551,645.38
  6. Step 6: Final answer
    x = 266,502.58

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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.