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Finding the Fourth Proportional to 304,344, 456,517.44 and 107,352

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Solution

The fourth proportional to 304,344, 456,517.44 and 107,352 is: 161,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,344 : 456,517.44 = 107,352 : x
  2. Step 2: Convert to fraction form
    304,344/456,517.44 = 107,352/x
  3. Step 3: Cross multiply
    304,344x = 456,517.44 × 107,352
  4. Step 4: Simplify right side
    304,344x = 49,008,060,218.88
  5. Step 5: Solve for x
    x = 49,008,060,218.88/304,344
  6. Step 6: Final answer
    x = 161,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.