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Finding the Fourth Proportional to 782,855.22, 1,080,321.84 and 460,586.06

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Solution

The fourth proportional to 782,855.22, 1,080,321.84 and 460,586.06 is: 635,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,855.22 : 1,080,321.84 = 460,586.06 : x
  2. Step 2: Convert to fraction form
    782,855.22/1,080,321.84 = 460,586.06/x
  3. Step 3: Cross multiply
    782,855.22x = 1,080,321.84 × 460,586.06
  4. Step 4: Simplify right side
    782,855.22x = 497,581,179,817.55
  5. Step 5: Solve for x
    x = 497,581,179,817.55/782,855.22
  6. Step 6: Final answer
    x = 635,597.96

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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.