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Finding the Fourth Proportional to 599,382.98, 827,164.74 and 357,805.76

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Solution

The fourth proportional to 599,382.98, 827,164.74 and 357,805.76 is: 493,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,382.98 : 827,164.74 = 357,805.76 : x
  2. Step 2: Convert to fraction form
    599,382.98/827,164.74 = 357,805.76/x
  3. Step 3: Cross multiply
    599,382.98x = 827,164.74 × 357,805.76
  4. Step 4: Simplify right side
    599,382.98x = 295,964,304,305.08
  5. Step 5: Solve for x
    x = 295,964,304,305.08/599,382.98
  6. Step 6: Final answer
    x = 493,781.63

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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.