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Finding the Fourth Proportional to 823,662.75, 1,136,673.80 and 461,077.47

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Solution

The fourth proportional to 823,662.75, 1,136,673.80 and 461,077.47 is: 636,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,662.75 : 1,136,673.80 = 461,077.47 : x
  2. Step 2: Convert to fraction form
    823,662.75/1,136,673.80 = 461,077.47/x
  3. Step 3: Cross multiply
    823,662.75x = 1,136,673.80 × 461,077.47
  4. Step 4: Simplify right side
    823,662.75x = 524,094,677,613.90
  5. Step 5: Solve for x
    x = 524,094,677,613.90/823,662.75
  6. Step 6: Final answer
    x = 636,297.66

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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.