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Finding the Fourth Proportional to 469,694.44, 704,563.98 and 149,880.20

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Solution

The fourth proportional to 469,694.44, 704,563.98 and 149,880.20 is: 224,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,694.44 : 704,563.98 = 149,880.20 : x
  2. Step 2: Convert to fraction form
    469,694.44/704,563.98 = 149,880.20/x
  3. Step 3: Cross multiply
    469,694.44x = 704,563.98 × 149,880.20
  4. Step 4: Simplify right side
    469,694.44x = 105,600,190,235.20
  5. Step 5: Solve for x
    x = 105,600,190,235.20/469,694.44
  6. Step 6: Final answer
    x = 224,827.42

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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.