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Finding the Fourth Proportional to 823,833, 1,136,906.82 and 466,137

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Solution

The fourth proportional to 823,833, 1,136,906.82 and 466,137 is: 643,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,833 : 1,136,906.82 = 466,137 : x
  2. Step 2: Convert to fraction form
    823,833/1,136,906.82 = 466,137/x
  3. Step 3: Cross multiply
    823,833x = 1,136,906.82 × 466,137
  4. Step 4: Simplify right side
    823,833x = 529,954,334,354.34
  5. Step 5: Solve for x
    x = 529,954,334,354.34/823,833
  6. Step 6: Final answer
    x = 643,278.84

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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.