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Finding the Fourth Proportional to 591,806, 816,692.28 and 323,534

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Solution

The fourth proportional to 591,806, 816,692.28 and 323,534 is: 446,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,806 : 816,692.28 = 323,534 : x
  2. Step 2: Convert to fraction form
    591,806/816,692.28 = 323,534/x
  3. Step 3: Cross multiply
    591,806x = 816,692.28 × 323,534
  4. Step 4: Simplify right side
    591,806x = 264,227,720,117.52
  5. Step 5: Solve for x
    x = 264,227,720,117.52/591,806
  6. Step 6: Final answer
    x = 446,476.92

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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.