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Finding the Fourth Proportional to 322,411.77, 444,977.30 and 232,066.80

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Solution

The fourth proportional to 322,411.77, 444,977.30 and 232,066.80 is: 320,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,411.77 : 444,977.30 = 232,066.80 : x
  2. Step 2: Convert to fraction form
    322,411.77/444,977.30 = 232,066.80/x
  3. Step 3: Cross multiply
    322,411.77x = 444,977.30 × 232,066.80
  4. Step 4: Simplify right side
    322,411.77x = 103,264,456,923.31
  5. Step 5: Solve for x
    x = 103,264,456,923.31/322,411.77
  6. Step 6: Final answer
    x = 320,287.49

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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.