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Finding the Fourth Proportional to 310,739.98, 428,843.61 and 189,904.38

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Solution

The fourth proportional to 310,739.98, 428,843.61 and 189,904.38 is: 262,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,739.98 : 428,843.61 = 189,904.38 : x
  2. Step 2: Convert to fraction form
    310,739.98/428,843.61 = 189,904.38/x
  3. Step 3: Cross multiply
    310,739.98x = 428,843.61 × 189,904.38
  4. Step 4: Simplify right side
    310,739.98x = 81,439,279,874.01
  5. Step 5: Solve for x
    x = 81,439,279,874.01/310,739.98
  6. Step 6: Final answer
    x = 262,081.76

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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.