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Finding the Fourth Proportional to 599,383.16, 827,165.00 and 357,805.94

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Solution

The fourth proportional to 599,383.16, 827,165.00 and 357,805.94 is: 493,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,383.16 : 827,165.00 = 357,805.94 : x
  2. Step 2: Convert to fraction form
    599,383.16/827,165.00 = 357,805.94/x
  3. Step 3: Cross multiply
    599,383.16x = 827,165.00 × 357,805.94
  4. Step 4: Simplify right side
    599,383.16x = 295,964,544,435.25
  5. Step 5: Solve for x
    x = 295,964,544,435.25/599,383.16
  6. Step 6: Final answer
    x = 493,781.89

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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.