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Finding the Fourth Proportional to 590,968.30, 885,179.22 and 400,383.06

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Solution

The fourth proportional to 590,968.30, 885,179.22 and 400,383.06 is: 599,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,968.30 : 885,179.22 = 400,383.06 : x
  2. Step 2: Convert to fraction form
    590,968.30/885,179.22 = 400,383.06/x
  3. Step 3: Cross multiply
    590,968.30x = 885,179.22 × 400,383.06
  4. Step 4: Simplify right side
    590,968.30x = 354,410,760,326.12
  5. Step 5: Solve for x
    x = 354,410,760,326.12/590,968.30
  6. Step 6: Final answer
    x = 599,711.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.