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Finding the Fourth Proportional to 469,256.40, 704,230.20 and 188,974.80

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Solution

The fourth proportional to 469,256.40, 704,230.20 and 188,974.80 is: 283,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,256.40 : 704,230.20 = 188,974.80 : x
  2. Step 2: Convert to fraction form
    469,256.40/704,230.20 = 188,974.80/x
  3. Step 3: Cross multiply
    469,256.40x = 704,230.20 × 188,974.80
  4. Step 4: Simplify right side
    469,256.40x = 133,081,761,198.96
  5. Step 5: Solve for x
    x = 133,081,761,198.96/469,256.40
  6. Step 6: Final answer
    x = 283,601.38

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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.