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Finding the Fourth Proportional to 591,889, 816,806.82 and 323,617

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Solution

The fourth proportional to 591,889, 816,806.82 and 323,617 is: 446,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,889 : 816,806.82 = 323,617 : x
  2. Step 2: Convert to fraction form
    591,889/816,806.82 = 323,617/x
  3. Step 3: Cross multiply
    591,889x = 816,806.82 × 323,617
  4. Step 4: Simplify right side
    591,889x = 264,332,572,667.94
  5. Step 5: Solve for x
    x = 264,332,572,667.94/591,889
  6. Step 6: Final answer
    x = 446,591.46

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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.