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Finding the Fourth Proportional to 551,646.13, 827,469.23 and 177,669.13

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Solution

The fourth proportional to 551,646.13, 827,469.23 and 177,669.13 is: 266,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,646.13 : 827,469.23 = 177,669.13 : x
  2. Step 2: Convert to fraction form
    551,646.13/827,469.23 = 177,669.13/x
  3. Step 3: Cross multiply
    551,646.13x = 827,469.23 × 177,669.13
  4. Step 4: Simplify right side
    551,646.13x = 147,015,738,195.87
  5. Step 5: Solve for x
    x = 147,015,738,195.87/551,646.13
  6. Step 6: Final answer
    x = 266,503.71

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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.