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Finding the Fourth Proportional to 591,805, 816,690.90 and 323,533

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Solution

The fourth proportional to 591,805, 816,690.90 and 323,533 is: 446,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,805 : 816,690.90 = 323,533 : x
  2. Step 2: Convert to fraction form
    591,805/816,690.90 = 323,533/x
  3. Step 3: Cross multiply
    591,805x = 816,690.90 × 323,533
  4. Step 4: Simplify right side
    591,805x = 264,226,456,949.70
  5. Step 5: Solve for x
    x = 264,226,456,949.70/591,805
  6. Step 6: Final answer
    x = 446,475.54

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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.