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Finding the Fourth Proportional to 431,205.30, 590,753.39 and 415,043.99

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Solution

The fourth proportional to 431,205.30, 590,753.39 and 415,043.99 is: 568,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,205.30 : 590,753.39 = 415,043.99 : x
  2. Step 2: Convert to fraction form
    431,205.30/590,753.39 = 415,043.99/x
  3. Step 3: Cross multiply
    431,205.30x = 590,753.39 × 415,043.99
  4. Step 4: Simplify right side
    431,205.30x = 245,188,644,091.63
  5. Step 5: Solve for x
    x = 245,188,644,091.63/431,205.30
  6. Step 6: Final answer
    x = 568,612.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.