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Finding the Fourth Proportional to 823,686.92, 1,136,687.64 and 461,195.76

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Solution

The fourth proportional to 823,686.92, 1,136,687.64 and 461,195.76 is: 636,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,686.92 : 1,136,687.64 = 461,195.76 : x
  2. Step 2: Convert to fraction form
    823,686.92/1,136,687.64 = 461,195.76/x
  3. Step 3: Cross multiply
    823,686.92x = 1,136,687.64 × 461,195.76
  4. Step 4: Simplify right side
    823,686.92x = 524,235,520,012.41
  5. Step 5: Solve for x
    x = 524,235,520,012.41/823,686.92
  6. Step 6: Final answer
    x = 636,449.98

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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.