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Finding the Fourth Proportional to 823,845, 1,136,923.38 and 466,149

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Solution

The fourth proportional to 823,845, 1,136,923.38 and 466,149 is: 643,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,845 : 1,136,923.38 = 466,149 : x
  2. Step 2: Convert to fraction form
    823,845/1,136,923.38 = 466,149/x
  3. Step 3: Cross multiply
    823,845x = 1,136,923.38 × 466,149
  4. Step 4: Simplify right side
    823,845x = 529,975,696,663.62
  5. Step 5: Solve for x
    x = 529,975,696,663.62/823,845
  6. Step 6: Final answer
    x = 643,295.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.