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Finding the Fourth Proportional to 591,820, 816,711.60 and 323,548

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Solution

The fourth proportional to 591,820, 816,711.60 and 323,548 is: 446,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,820 : 816,711.60 = 323,548 : x
  2. Step 2: Convert to fraction form
    591,820/816,711.60 = 323,548/x
  3. Step 3: Cross multiply
    591,820x = 816,711.60 × 323,548
  4. Step 4: Simplify right side
    591,820x = 264,245,404,756.80
  5. Step 5: Solve for x
    x = 264,245,404,756.80/591,820
  6. Step 6: Final answer
    x = 446,496.24

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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.