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Finding the Fourth Proportional to 469,540.60, 704,354.10 and 188,999.80

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Solution

The fourth proportional to 469,540.60, 704,354.10 and 188,999.80 is: 283,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,540.60 : 704,354.10 = 188,999.80 : x
  2. Step 2: Convert to fraction form
    469,540.60/704,354.10 = 188,999.80/x
  3. Step 3: Cross multiply
    469,540.60x = 704,354.10 × 188,999.80
  4. Step 4: Simplify right side
    469,540.60x = 133,122,784,029.18
  5. Step 5: Solve for x
    x = 133,122,784,029.18/469,540.60
  6. Step 6: Final answer
    x = 283,517.09

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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.