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Finding the Fourth Proportional to 456,980.10, 685,588.41 and 267,600.48

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Solution

The fourth proportional to 456,980.10, 685,588.41 and 267,600.48 is: 401,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,980.10 : 685,588.41 = 267,600.48 : x
  2. Step 2: Convert to fraction form
    456,980.10/685,588.41 = 267,600.48/x
  3. Step 3: Cross multiply
    456,980.10x = 685,588.41 × 267,600.48
  4. Step 4: Simplify right side
    456,980.10x = 183,463,787,598.44
  5. Step 5: Solve for x
    x = 183,463,787,598.44/456,980.10
  6. Step 6: Final answer
    x = 401,469.97

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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.