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Finding the Fourth Proportional to 469,905.20, 704,857.80 and 137,481.20

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Solution

The fourth proportional to 469,905.20, 704,857.80 and 137,481.20 is: 206,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,905.20 : 704,857.80 = 137,481.20 : x
  2. Step 2: Convert to fraction form
    469,905.20/704,857.80 = 137,481.20/x
  3. Step 3: Cross multiply
    469,905.20x = 704,857.80 × 137,481.20
  4. Step 4: Simplify right side
    469,905.20x = 96,904,696,173.36
  5. Step 5: Solve for x
    x = 96,904,696,173.36/469,905.20
  6. Step 6: Final answer
    x = 206,221.80

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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.