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Finding the Fourth Proportional to 599,644.62, 827,611.96 and 357,939.66

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Solution

The fourth proportional to 599,644.62, 827,611.96 and 357,939.66 is: 494,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,644.62 : 827,611.96 = 357,939.66 : x
  2. Step 2: Convert to fraction form
    599,644.62/827,611.96 = 357,939.66/x
  3. Step 3: Cross multiply
    599,644.62x = 827,611.96 × 357,939.66
  4. Step 4: Simplify right side
    599,644.62x = 296,235,143,574.33
  5. Step 5: Solve for x
    x = 296,235,143,574.33/599,644.62
  6. Step 6: Final answer
    x = 494,017.85

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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.