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Finding the Fourth Proportional to 469,621.44, 704,103.84 and 149,666.04

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Solution

The fourth proportional to 469,621.44, 704,103.84 and 149,666.04 is: 224,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,621.44 : 704,103.84 = 149,666.04 : x
  2. Step 2: Convert to fraction form
    469,621.44/704,103.84 = 149,666.04/x
  3. Step 3: Cross multiply
    469,621.44x = 704,103.84 × 149,666.04
  4. Step 4: Simplify right side
    469,621.44x = 105,380,433,481.59
  5. Step 5: Solve for x
    x = 105,380,433,481.59/469,621.44
  6. Step 6: Final answer
    x = 224,394.43

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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.