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Finding the Fourth Proportional to 511,037.40, 766,847.70 and 195,720.60

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Solution

The fourth proportional to 511,037.40, 766,847.70 and 195,720.60 is: 293,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,037.40 : 766,847.70 = 195,720.60 : x
  2. Step 2: Convert to fraction form
    511,037.40/766,847.70 = 195,720.60/x
  3. Step 3: Cross multiply
    511,037.40x = 766,847.70 × 195,720.60
  4. Step 4: Simplify right side
    511,037.40x = 150,087,891,952.62
  5. Step 5: Solve for x
    x = 150,087,891,952.62/511,037.40
  6. Step 6: Final answer
    x = 293,692.58

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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.