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Finding the Fourth Proportional to 481,535.80, 722,418.90 and 200,897.08

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Solution

The fourth proportional to 481,535.80, 722,418.90 and 200,897.08 is: 301,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,535.80 : 722,418.90 = 200,897.08 : x
  2. Step 2: Convert to fraction form
    481,535.80/722,418.90 = 200,897.08/x
  3. Step 3: Cross multiply
    481,535.80x = 722,418.90 × 200,897.08
  4. Step 4: Simplify right side
    481,535.80x = 145,131,847,546.81
  5. Step 5: Solve for x
    x = 145,131,847,546.81/481,535.80
  6. Step 6: Final answer
    x = 301,393.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.