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Finding the Fourth Proportional to 823,990.38, 1,137,012.75 and 461,363.82

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Solution

The fourth proportional to 823,990.38, 1,137,012.75 and 461,363.82 is: 636,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,990.38 : 1,137,012.75 = 461,363.82 : x
  2. Step 2: Convert to fraction form
    823,990.38/1,137,012.75 = 461,363.82/x
  3. Step 3: Cross multiply
    823,990.38x = 1,137,012.75 × 461,363.82
  4. Step 4: Simplify right side
    823,990.38x = 524,576,545,728.71
  5. Step 5: Solve for x
    x = 524,576,545,728.71/823,990.38
  6. Step 6: Final answer
    x = 636,629.45

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Why These Related Problems?

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