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Finding the Fourth Proportional to 823,641.77, 1,136,649.38 and 461,063.49

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Solution

The fourth proportional to 823,641.77, 1,136,649.38 and 461,063.49 is: 636,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,641.77 : 1,136,649.38 = 461,063.49 : x
  2. Step 2: Convert to fraction form
    823,641.77/1,136,649.38 = 461,063.49/x
  3. Step 3: Cross multiply
    823,641.77x = 1,136,649.38 × 461,063.49
  4. Step 4: Simplify right side
    823,641.77x = 524,067,527,743.82
  5. Step 5: Solve for x
    x = 524,067,527,743.82/823,641.77
  6. Step 6: Final answer
    x = 636,280.91

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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.