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Finding the Fourth Proportional to 591,849, 816,771.78 and 323,594.28

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Solution

The fourth proportional to 591,849, 816,771.78 and 323,594.28 is: 446,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,849 : 816,771.78 = 323,594.28 : x
  2. Step 2: Convert to fraction form
    591,849/816,771.78 = 323,594.28/x
  3. Step 3: Cross multiply
    591,849x = 816,771.78 × 323,594.28
  4. Step 4: Simplify right side
    591,849x = 264,302,676,073.42
  5. Step 5: Solve for x
    x = 264,302,676,073.42/591,849
  6. Step 6: Final answer
    x = 446,571.13

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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.