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Finding the Fourth Proportional to 456,722.20, 685,698.90 and 267,376.60

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Solution

The fourth proportional to 456,722.20, 685,698.90 and 267,376.60 is: 401,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,722.20 : 685,698.90 = 267,376.60 : x
  2. Step 2: Convert to fraction form
    456,722.20/685,698.90 = 267,376.60/x
  3. Step 3: Cross multiply
    456,722.20x = 685,698.90 × 267,376.60
  4. Step 4: Simplify right side
    456,722.20x = 183,339,840,505.74
  5. Step 5: Solve for x
    x = 183,339,840,505.74/456,722.20
  6. Step 6: Final answer
    x = 401,425.29

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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.