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Finding the Fourth Proportional to 590,414.36, 814,781.22 and 322,142.36

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Solution

The fourth proportional to 590,414.36, 814,781.22 and 322,142.36 is: 444,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,414.36 : 814,781.22 = 322,142.36 : x
  2. Step 2: Convert to fraction form
    590,414.36/814,781.22 = 322,142.36/x
  3. Step 3: Cross multiply
    590,414.36x = 814,781.22 × 322,142.36
  4. Step 4: Simplify right side
    590,414.36x = 262,475,545,094.48
  5. Step 5: Solve for x
    x = 262,475,545,094.48/590,414.36
  6. Step 6: Final answer
    x = 444,561.59

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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.