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Finding the Fourth Proportional to 310,252.42, 428,187.93 and 189,367.84

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Solution

The fourth proportional to 310,252.42, 428,187.93 and 189,367.84 is: 261,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,252.42 : 428,187.93 = 189,367.84 : x
  2. Step 2: Convert to fraction form
    310,252.42/428,187.93 = 189,367.84/x
  3. Step 3: Cross multiply
    310,252.42x = 428,187.93 × 189,367.84
  4. Step 4: Simplify right side
    310,252.42x = 81,085,023,418.17
  5. Step 5: Solve for x
    x = 81,085,023,418.17/310,252.42
  6. Step 6: Final answer
    x = 261,351.78

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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.