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Finding the Fourth Proportional to 419,072.10, 628,776.52 and 191,475.60

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Solution

The fourth proportional to 419,072.10, 628,776.52 and 191,475.60 is: 287,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,072.10 : 628,776.52 = 191,475.60 : x
  2. Step 2: Convert to fraction form
    419,072.10/628,776.52 = 191,475.60/x
  3. Step 3: Cross multiply
    419,072.10x = 628,776.52 × 191,475.60
  4. Step 4: Simplify right side
    419,072.10x = 120,395,361,432.91
  5. Step 5: Solve for x
    x = 120,395,361,432.91/419,072.10
  6. Step 6: Final answer
    x = 287,290.33

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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.