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Finding the Fourth Proportional to 599,670.72, 827,546.40 and 345,016.80

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Solution

The fourth proportional to 599,670.72, 827,546.40 and 345,016.80 is: 476,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,670.72 : 827,546.40 = 345,016.80 : x
  2. Step 2: Convert to fraction form
    599,670.72/827,546.40 = 345,016.80/x
  3. Step 3: Cross multiply
    599,670.72x = 827,546.40 × 345,016.80
  4. Step 4: Simplify right side
    599,670.72x = 285,517,410,779.52
  5. Step 5: Solve for x
    x = 285,517,410,779.52/599,670.72
  6. Step 6: Final answer
    x = 476,123.65

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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.