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Finding the Fourth Proportional to 735,713.20, 1,015,314.24 and 413,422.30

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Solution

The fourth proportional to 735,713.20, 1,015,314.24 and 413,422.30 is: 570,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,713.20 : 1,015,314.24 = 413,422.30 : x
  2. Step 2: Convert to fraction form
    735,713.20/1,015,314.24 = 413,422.30/x
  3. Step 3: Cross multiply
    735,713.20x = 1,015,314.24 × 413,422.30
  4. Step 4: Simplify right side
    735,713.20x = 419,753,548,323.55
  5. Step 5: Solve for x
    x = 419,753,548,323.55/735,713.20
  6. Step 6: Final answer
    x = 570,539.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.