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Finding the Fourth Proportional to 384,902.80, 577,367.40 and 118,661.20

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Solution

The fourth proportional to 384,902.80, 577,367.40 and 118,661.20 is: 177,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.80 : 577,367.40 = 118,661.20 : x
  2. Step 2: Convert to fraction form
    384,902.80/577,367.40 = 118,661.20/x
  3. Step 3: Cross multiply
    384,902.80x = 577,367.40 × 118,661.20
  4. Step 4: Simplify right side
    384,902.80x = 68,511,108,524.88
  5. Step 5: Solve for x
    x = 68,511,108,524.88/384,902.80
  6. Step 6: Final answer
    x = 177,995.87

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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.