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Finding the Fourth Proportional to 299,643.20, 449,983.20 and 194,926.40

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Solution

The fourth proportional to 299,643.20, 449,983.20 and 194,926.40 is: 292,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,643.20 : 449,983.20 = 194,926.40 : x
  2. Step 2: Convert to fraction form
    299,643.20/449,983.20 = 194,926.40/x
  3. Step 3: Cross multiply
    299,643.20x = 449,983.20 × 194,926.40
  4. Step 4: Simplify right side
    299,643.20x = 87,713,605,236.48
  5. Step 5: Solve for x
    x = 87,713,605,236.48/299,643.20
  6. Step 6: Final answer
    x = 292,726.83

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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.