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Finding the Fourth Proportional to 535,669.44, 739,229.76 and 293,945.20

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Solution

The fourth proportional to 535,669.44, 739,229.76 and 293,945.20 is: 405,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,669.44 : 739,229.76 = 293,945.20 : x
  2. Step 2: Convert to fraction form
    535,669.44/739,229.76 = 293,945.20/x
  3. Step 3: Cross multiply
    535,669.44x = 739,229.76 × 293,945.20
  4. Step 4: Simplify right side
    535,669.44x = 217,293,039,649.15
  5. Step 5: Solve for x
    x = 217,293,039,649.15/535,669.44
  6. Step 6: Final answer
    x = 405,647.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.