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Finding the Fourth Proportional to 728,902.80, 1,093,354.20 and 413,974.80

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Solution

The fourth proportional to 728,902.80, 1,093,354.20 and 413,974.80 is: 620,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,902.80 : 1,093,354.20 = 413,974.80 : x
  2. Step 2: Convert to fraction form
    728,902.80/1,093,354.20 = 413,974.80/x
  3. Step 3: Cross multiply
    728,902.80x = 1,093,354.20 × 413,974.80
  4. Step 4: Simplify right side
    728,902.80x = 452,621,086,274.16
  5. Step 5: Solve for x
    x = 452,621,086,274.16/728,902.80
  6. Step 6: Final answer
    x = 620,962.20

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