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Finding the Fourth Proportional to 299,809.40, 449,843.70 and 152,065.40

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Solution

The fourth proportional to 299,809.40, 449,843.70 and 152,065.40 is: 228,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,809.40 : 449,843.70 = 152,065.40 : x
  2. Step 2: Convert to fraction form
    299,809.40/449,843.70 = 152,065.40/x
  3. Step 3: Cross multiply
    299,809.40x = 449,843.70 × 152,065.40
  4. Step 4: Simplify right side
    299,809.40x = 68,405,662,177.98
  5. Step 5: Solve for x
    x = 68,405,662,177.98/299,809.40
  6. Step 6: Final answer
    x = 228,163.83

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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.